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Finding the Third Proportional to 71,598 and 152,412

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Solution

The third proportional to 71,598 and 152,412 is: 324,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,598 : 152,412 = 152,412 : x
  2. Step 2: Convert to fraction form
    71,598/152,412 = 152,412/x
  3. Step 3: Cross multiply
    71,598x = 152,412 × 152,412
  4. Step 4: Simplify right side
    71,598x = 23,229,417,744
  5. Step 5: Solve for x
    x = 23,229,417,744/71,598
  6. Step 6: Final answer
    x = 324,442.27

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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.