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Finding the Third Proportional to 71,592 and 156,504

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Solution

The third proportional to 71,592 and 156,504 is: 342,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,592 : 156,504 = 156,504 : x
  2. Step 2: Convert to fraction form
    71,592/156,504 = 156,504/x
  3. Step 3: Cross multiply
    71,592x = 156,504 × 156,504
  4. Step 4: Simplify right side
    71,592x = 24,493,502,016
  5. Step 5: Solve for x
    x = 24,493,502,016/71,592
  6. Step 6: Final answer
    x = 342,126.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.