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Finding the Third Proportional to 91,777 and 133,670

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Solution

The third proportional to 91,777 and 133,670 is: 194,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,777 : 133,670 = 133,670 : x
  2. Step 2: Convert to fraction form
    91,777/133,670 = 133,670/x
  3. Step 3: Cross multiply
    91,777x = 133,670 × 133,670
  4. Step 4: Simplify right side
    91,777x = 17,867,668,900
  5. Step 5: Solve for x
    x = 17,867,668,900/91,777
  6. Step 6: Final answer
    x = 194,685.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.