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Finding the Third Proportional to 88,508 and 191,785

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Solution

The third proportional to 88,508 and 191,785 is: 415,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,508 : 191,785 = 191,785 : x
  2. Step 2: Convert to fraction form
    88,508/191,785 = 191,785/x
  3. Step 3: Cross multiply
    88,508x = 191,785 × 191,785
  4. Step 4: Simplify right side
    88,508x = 36,781,486,225
  5. Step 5: Solve for x
    x = 36,781,486,225/88,508
  6. Step 6: Final answer
    x = 415,572.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.