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Finding the Third Proportional to 40,292 and 87,754

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Solution

The third proportional to 40,292 and 87,754 is: 191,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,292 : 87,754 = 87,754 : x
  2. Step 2: Convert to fraction form
    40,292/87,754 = 87,754/x
  3. Step 3: Cross multiply
    40,292x = 87,754 × 87,754
  4. Step 4: Simplify right side
    40,292x = 7,700,764,516
  5. Step 5: Solve for x
    x = 7,700,764,516/40,292
  6. Step 6: Final answer
    x = 191,123.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.