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Finding the Third Proportional to 87,362 and 130,904

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Solution

The third proportional to 87,362 and 130,904 is: 196,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,362 : 130,904 = 130,904 : x
  2. Step 2: Convert to fraction form
    87,362/130,904 = 130,904/x
  3. Step 3: Cross multiply
    87,362x = 130,904 × 130,904
  4. Step 4: Simplify right side
    87,362x = 17,135,857,216
  5. Step 5: Solve for x
    x = 17,135,857,216/87,362
  6. Step 6: Final answer
    x = 196,147.72

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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.