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Finding the Third Proportional to 82,746 and 124,092

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Solution

The third proportional to 82,746 and 124,092 is: 186,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,746 : 124,092 = 124,092 : x
  2. Step 2: Convert to fraction form
    82,746/124,092 = 124,092/x
  3. Step 3: Cross multiply
    82,746x = 124,092 × 124,092
  4. Step 4: Simplify right side
    82,746x = 15,398,824,464
  5. Step 5: Solve for x
    x = 15,398,824,464/82,746
  6. Step 6: Final answer
    x = 186,097.51

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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.