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Finding the Third Proportional to 89,764.88 and 136,512.42

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Solution

The third proportional to 89,764.88 and 136,512.42 is: 207,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,764.88 : 136,512.42 = 136,512.42 : x
  2. Step 2: Convert to fraction form
    89,764.88/136,512.42 = 136,512.42/x
  3. Step 3: Cross multiply
    89,764.88x = 136,512.42 × 136,512.42
  4. Step 4: Simplify right side
    89,764.88x = 18,635,641,326.18
  5. Step 5: Solve for x
    x = 18,635,641,326.18/89,764.88
  6. Step 6: Final answer
    x = 207,605.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.