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Finding the Third Proportional to 124,613 and 187,079

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Solution

The third proportional to 124,613 and 187,079 is: 280,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,613 : 187,079 = 187,079 : x
  2. Step 2: Convert to fraction form
    124,613/187,079 = 187,079/x
  3. Step 3: Cross multiply
    124,613x = 187,079 × 187,079
  4. Step 4: Simplify right side
    124,613x = 34,998,552,241
  5. Step 5: Solve for x
    x = 34,998,552,241/124,613
  6. Step 6: Final answer
    x = 280,857.95

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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.