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Finding the Third Proportional to 39,865 and 83,860

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Solution

The third proportional to 39,865 and 83,860 is: 176,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,865 : 83,860 = 83,860 : x
  2. Step 2: Convert to fraction form
    39,865/83,860 = 83,860/x
  3. Step 3: Cross multiply
    39,865x = 83,860 × 83,860
  4. Step 4: Simplify right side
    39,865x = 7,032,499,600
  5. Step 5: Solve for x
    x = 7,032,499,600/39,865
  6. Step 6: Final answer
    x = 176,407.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.