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Finding the Third Proportional to 82,998 and 124,713

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Solution

The third proportional to 82,998 and 124,713 is: 187,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998 : 124,713 = 124,713 : x
  2. Step 2: Convert to fraction form
    82,998/124,713 = 124,713/x
  3. Step 3: Cross multiply
    82,998x = 124,713 × 124,713
  4. Step 4: Simplify right side
    82,998x = 15,553,332,369
  5. Step 5: Solve for x
    x = 15,553,332,369/82,998
  6. Step 6: Final answer
    x = 187,394.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.