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Finding the Third Proportional to 91,251 and 195,113

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Solution

The third proportional to 91,251 and 195,113 is: 417,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,251 : 195,113 = 195,113 : x
  2. Step 2: Convert to fraction form
    91,251/195,113 = 195,113/x
  3. Step 3: Cross multiply
    91,251x = 195,113 × 195,113
  4. Step 4: Simplify right side
    91,251x = 38,069,082,769
  5. Step 5: Solve for x
    x = 38,069,082,769/91,251
  6. Step 6: Final answer
    x = 417,190.86

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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.