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Finding the Third Proportional to 39,332 and 60,195

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Solution

The third proportional to 39,332 and 60,195 is: 92,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,332 : 60,195 = 60,195 : x
  2. Step 2: Convert to fraction form
    39,332/60,195 = 60,195/x
  3. Step 3: Cross multiply
    39,332x = 60,195 × 60,195
  4. Step 4: Simplify right side
    39,332x = 3,623,438,025
  5. Step 5: Solve for x
    x = 3,623,438,025/39,332
  6. Step 6: Final answer
    x = 92,124.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.