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Finding the Third Proportional to 103,720.50 and 162,806.63

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Solution

The third proportional to 103,720.50 and 162,806.63 is: 255,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,720.50 : 162,806.63 = 162,806.63 : x
  2. Step 2: Convert to fraction form
    103,720.50/162,806.63 = 162,806.63/x
  3. Step 3: Cross multiply
    103,720.50x = 162,806.63 × 162,806.63
  4. Step 4: Simplify right side
    103,720.50x = 26,505,997,143.89
  5. Step 5: Solve for x
    x = 26,505,997,143.89/103,720.50
  6. Step 6: Final answer
    x = 255,552.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.