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Finding the Third Proportional to 42,417 and 91,350

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Solution

The third proportional to 42,417 and 91,350 is: 196,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,417 : 91,350 = 91,350 : x
  2. Step 2: Convert to fraction form
    42,417/91,350 = 91,350/x
  3. Step 3: Cross multiply
    42,417x = 91,350 × 91,350
  4. Step 4: Simplify right side
    42,417x = 8,344,822,500
  5. Step 5: Solve for x
    x = 8,344,822,500/42,417
  6. Step 6: Final answer
    x = 196,732.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.