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Finding the Third Proportional to 71,507.25 and 155,316

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Solution

The third proportional to 71,507.25 and 155,316 is: 337,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,507.25 : 155,316 = 155,316 : x
  2. Step 2: Convert to fraction form
    71,507.25/155,316 = 155,316/x
  3. Step 3: Cross multiply
    71,507.25x = 155,316 × 155,316
  4. Step 4: Simplify right side
    71,507.25x = 24,123,059,856
  5. Step 5: Solve for x
    x = 24,123,059,856/71,507.25
  6. Step 6: Final answer
    x = 337,351.25

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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.