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Finding the Third Proportional to 91,250 and 195,110

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Solution

The third proportional to 91,250 and 195,110 is: 417,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,250 : 195,110 = 195,110 : x
  2. Step 2: Convert to fraction form
    91,250/195,110 = 195,110/x
  3. Step 3: Cross multiply
    91,250x = 195,110 × 195,110
  4. Step 4: Simplify right side
    91,250x = 38,067,912,100
  5. Step 5: Solve for x
    x = 38,067,912,100/91,250
  6. Step 6: Final answer
    x = 417,182.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.