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Finding the Third Proportional to 70,702 and 152,474

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Solution

The third proportional to 70,702 and 152,474 is: 328,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702 : 152,474 = 152,474 : x
  2. Step 2: Convert to fraction form
    70,702/152,474 = 152,474/x
  3. Step 3: Cross multiply
    70,702x = 152,474 × 152,474
  4. Step 4: Simplify right side
    70,702x = 23,248,320,676
  5. Step 5: Solve for x
    x = 23,248,320,676/70,702
  6. Step 6: Final answer
    x = 328,821.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.