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Finding the Third Proportional to 71,929.50 and 156,090

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Solution

The third proportional to 71,929.50 and 156,090 is: 338,721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,929.50 : 156,090 = 156,090 : x
  2. Step 2: Convert to fraction form
    71,929.50/156,090 = 156,090/x
  3. Step 3: Cross multiply
    71,929.50x = 156,090 × 156,090
  4. Step 4: Simplify right side
    71,929.50x = 24,364,088,100
  5. Step 5: Solve for x
    x = 24,364,088,100/71,929.50
  6. Step 6: Final answer
    x = 338,721.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.