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Finding the Third Proportional to 39,866 and 86,068

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Solution

The third proportional to 39,866 and 86,068 is: 185,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866 : 86,068 = 86,068 : x
  2. Step 2: Convert to fraction form
    39,866/86,068 = 86,068/x
  3. Step 3: Cross multiply
    39,866x = 86,068 × 86,068
  4. Step 4: Simplify right side
    39,866x = 7,407,700,624
  5. Step 5: Solve for x
    x = 7,407,700,624/39,866
  6. Step 6: Final answer
    x = 185,815.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.