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Finding the Third Proportional to 82,534 and 127,587

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Solution

The third proportional to 82,534 and 127,587 is: 197,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,534 : 127,587 = 127,587 : x
  2. Step 2: Convert to fraction form
    82,534/127,587 = 127,587/x
  3. Step 3: Cross multiply
    82,534x = 127,587 × 127,587
  4. Step 4: Simplify right side
    82,534x = 16,278,442,569
  5. Step 5: Solve for x
    x = 16,278,442,569/82,534
  6. Step 6: Final answer
    x = 197,233.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.