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Finding the Third Proportional to 69,615.75 and 112,091.63

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Solution

The third proportional to 69,615.75 and 112,091.63 is: 180,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,615.75 : 112,091.63 = 112,091.63 : x
  2. Step 2: Convert to fraction form
    69,615.75/112,091.63 = 112,091.63/x
  3. Step 3: Cross multiply
    69,615.75x = 112,091.63 × 112,091.63
  4. Step 4: Simplify right side
    69,615.75x = 12,564,532,395.14
  5. Step 5: Solve for x
    x = 12,564,532,395.14/69,615.75
  6. Step 6: Final answer
    x = 180,484.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.