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Finding the Third Proportional to 91,262 and 135,561

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Solution

The third proportional to 91,262 and 135,561 is: 201,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,262 : 135,561 = 135,561 : x
  2. Step 2: Convert to fraction form
    91,262/135,561 = 135,561/x
  3. Step 3: Cross multiply
    91,262x = 135,561 × 135,561
  4. Step 4: Simplify right side
    91,262x = 18,376,784,721
  5. Step 5: Solve for x
    x = 18,376,784,721/91,262
  6. Step 6: Final answer
    x = 201,362.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.