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Finding the Third Proportional to 71,482 and 152,463

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Solution

The third proportional to 71,482 and 152,463 is: 325,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,482 : 152,463 = 152,463 : x
  2. Step 2: Convert to fraction form
    71,482/152,463 = 152,463/x
  3. Step 3: Cross multiply
    71,482x = 152,463 × 152,463
  4. Step 4: Simplify right side
    71,482x = 23,244,966,369
  5. Step 5: Solve for x
    x = 23,244,966,369/71,482
  6. Step 6: Final answer
    x = 325,186.29

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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.