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Finding the Third Proportional to 62,184 and 95,634

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Solution

The third proportional to 62,184 and 95,634 is: 147,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,184 : 95,634 = 95,634 : x
  2. Step 2: Convert to fraction form
    62,184/95,634 = 95,634/x
  3. Step 3: Cross multiply
    62,184x = 95,634 × 95,634
  4. Step 4: Simplify right side
    62,184x = 9,145,861,956
  5. Step 5: Solve for x
    x = 9,145,861,956/62,184
  6. Step 6: Final answer
    x = 147,077.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.