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Finding the Third Proportional to 39,110 and 83,068

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Solution

The third proportional to 39,110 and 83,068 is: 176,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,110 : 83,068 = 83,068 : x
  2. Step 2: Convert to fraction form
    39,110/83,068 = 83,068/x
  3. Step 3: Cross multiply
    39,110x = 83,068 × 83,068
  4. Step 4: Simplify right side
    39,110x = 6,900,292,624
  5. Step 5: Solve for x
    x = 6,900,292,624/39,110
  6. Step 6: Final answer
    x = 176,432.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.