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Finding the Third Proportional to 92,382 and 148,782

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Solution

The third proportional to 92,382 and 148,782 is: 239,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,382 : 148,782 = 148,782 : x
  2. Step 2: Convert to fraction form
    92,382/148,782 = 148,782/x
  3. Step 3: Cross multiply
    92,382x = 148,782 × 148,782
  4. Step 4: Simplify right side
    92,382x = 22,136,083,524
  5. Step 5: Solve for x
    x = 22,136,083,524/92,382
  6. Step 6: Final answer
    x = 239,614.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.