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Finding the Third Proportional to 39,068 and 85,540

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Solution

The third proportional to 39,068 and 85,540 is: 187,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,068 : 85,540 = 85,540 : x
  2. Step 2: Convert to fraction form
    39,068/85,540 = 85,540/x
  3. Step 3: Cross multiply
    39,068x = 85,540 × 85,540
  4. Step 4: Simplify right side
    39,068x = 7,317,091,600
  5. Step 5: Solve for x
    x = 7,317,091,600/39,068
  6. Step 6: Final answer
    x = 187,291.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.