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Finding the Third Proportional to 92,384 and 148,785

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Solution

The third proportional to 92,384 and 148,785 is: 239,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,384 : 148,785 = 148,785 : x
  2. Step 2: Convert to fraction form
    92,384/148,785 = 148,785/x
  3. Step 3: Cross multiply
    92,384x = 148,785 × 148,785
  4. Step 4: Simplify right side
    92,384x = 22,136,976,225
  5. Step 5: Solve for x
    x = 22,136,976,225/92,384
  6. Step 6: Final answer
    x = 239,619.16

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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.