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Finding the Third Proportional to 91,252 and 195,114

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Solution

The third proportional to 91,252 and 195,114 is: 417,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,252 : 195,114 = 195,114 : x
  2. Step 2: Convert to fraction form
    91,252/195,114 = 195,114/x
  3. Step 3: Cross multiply
    91,252x = 195,114 × 195,114
  4. Step 4: Simplify right side
    91,252x = 38,069,472,996
  5. Step 5: Solve for x
    x = 38,069,472,996/91,252
  6. Step 6: Final answer
    x = 417,190.56

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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.