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Finding the Third Proportional to 71,294 and 151,762

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Solution

The third proportional to 71,294 and 151,762 is: 323,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294 : 151,762 = 151,762 : x
  2. Step 2: Convert to fraction form
    71,294/151,762 = 151,762/x
  3. Step 3: Cross multiply
    71,294x = 151,762 × 151,762
  4. Step 4: Simplify right side
    71,294x = 23,031,704,644
  5. Step 5: Solve for x
    x = 23,031,704,644/71,294
  6. Step 6: Final answer
    x = 323,052.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.