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Finding the Third Proportional to 77,937 and 170,452

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Solution

The third proportional to 77,937 and 170,452 is: 372,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,937 : 170,452 = 170,452 : x
  2. Step 2: Convert to fraction form
    77,937/170,452 = 170,452/x
  3. Step 3: Cross multiply
    77,937x = 170,452 × 170,452
  4. Step 4: Simplify right side
    77,937x = 29,053,884,304
  5. Step 5: Solve for x
    x = 29,053,884,304/77,937
  6. Step 6: Final answer
    x = 372,786.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.