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Finding the Third Proportional to 71,531 and 155,008

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Solution

The third proportional to 71,531 and 155,008 is: 335,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,531 : 155,008 = 155,008 : x
  2. Step 2: Convert to fraction form
    71,531/155,008 = 155,008/x
  3. Step 3: Cross multiply
    71,531x = 155,008 × 155,008
  4. Step 4: Simplify right side
    71,531x = 24,027,480,064
  5. Step 5: Solve for x
    x = 24,027,480,064/71,531
  6. Step 6: Final answer
    x = 335,903.04

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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.