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Finding the Third Proportional to 87,380 and 130,928

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Solution

The third proportional to 87,380 and 130,928 is: 196,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,380 : 130,928 = 130,928 : x
  2. Step 2: Convert to fraction form
    87,380/130,928 = 130,928/x
  3. Step 3: Cross multiply
    87,380x = 130,928 × 130,928
  4. Step 4: Simplify right side
    87,380x = 17,142,141,184
  5. Step 5: Solve for x
    x = 17,142,141,184/87,380
  6. Step 6: Final answer
    x = 196,179.23

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