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Finding the Third Proportional to 87,376 and 130,922

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Solution

The third proportional to 87,376 and 130,922 is: 196,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,376 : 130,922 = 130,922 : x
  2. Step 2: Convert to fraction form
    87,376/130,922 = 130,922/x
  3. Step 3: Cross multiply
    87,376x = 130,922 × 130,922
  4. Step 4: Simplify right side
    87,376x = 17,140,570,084
  5. Step 5: Solve for x
    x = 17,140,570,084/87,376
  6. Step 6: Final answer
    x = 196,170.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.