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Finding the Third Proportional to 103,633.50 and 162,390

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Solution

The third proportional to 103,633.50 and 162,390 is: 254,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633.50 : 162,390 = 162,390 : x
  2. Step 2: Convert to fraction form
    103,633.50/162,390 = 162,390/x
  3. Step 3: Cross multiply
    103,633.50x = 162,390 × 162,390
  4. Step 4: Simplify right side
    103,633.50x = 26,370,512,100
  5. Step 5: Solve for x
    x = 26,370,512,100/103,633.50
  6. Step 6: Final answer
    x = 254,459.34

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