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Finding the Third Proportional to 91,812 and 141,569

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Solution

The third proportional to 91,812 and 141,569 is: 218,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,812 : 141,569 = 141,569 : x
  2. Step 2: Convert to fraction form
    91,812/141,569 = 141,569/x
  3. Step 3: Cross multiply
    91,812x = 141,569 × 141,569
  4. Step 4: Simplify right side
    91,812x = 20,041,781,761
  5. Step 5: Solve for x
    x = 20,041,781,761/91,812
  6. Step 6: Final answer
    x = 218,291.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.