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Finding the Third Proportional to 88,380 and 136,542

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Solution

The third proportional to 88,380 and 136,542 is: 210,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,380 : 136,542 = 136,542 : x
  2. Step 2: Convert to fraction form
    88,380/136,542 = 136,542/x
  3. Step 3: Cross multiply
    88,380x = 136,542 × 136,542
  4. Step 4: Simplify right side
    88,380x = 18,643,717,764
  5. Step 5: Solve for x
    x = 18,643,717,764/88,380
  6. Step 6: Final answer
    x = 210,949.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.