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Finding the Third Proportional to 91,134 and 191,472

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Solution

The third proportional to 91,134 and 191,472 is: 402,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,134 : 191,472 = 191,472 : x
  2. Step 2: Convert to fraction form
    91,134/191,472 = 191,472/x
  3. Step 3: Cross multiply
    91,134x = 191,472 × 191,472
  4. Step 4: Simplify right side
    91,134x = 36,661,526,784
  5. Step 5: Solve for x
    x = 36,661,526,784/91,134
  6. Step 6: Final answer
    x = 402,281.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.