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Finding the Third Proportional to 83,081 and 124,590

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Solution

The third proportional to 83,081 and 124,590 is: 186,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,081 : 124,590 = 124,590 : x
  2. Step 2: Convert to fraction form
    83,081/124,590 = 124,590/x
  3. Step 3: Cross multiply
    83,081x = 124,590 × 124,590
  4. Step 4: Simplify right side
    83,081x = 15,522,668,100
  5. Step 5: Solve for x
    x = 15,522,668,100/83,081
  6. Step 6: Final answer
    x = 186,837.76

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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.