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Finding the Third Proportional to 82,290 and 124,587

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Solution

The third proportional to 82,290 and 124,587 is: 188,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290 : 124,587 = 124,587 : x
  2. Step 2: Convert to fraction form
    82,290/124,587 = 124,587/x
  3. Step 3: Cross multiply
    82,290x = 124,587 × 124,587
  4. Step 4: Simplify right side
    82,290x = 15,521,920,569
  5. Step 5: Solve for x
    x = 15,521,920,569/82,290
  6. Step 6: Final answer
    x = 188,624.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.