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Finding the Third Proportional to 62,587.88 and 96,069

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Solution

The third proportional to 62,587.88 and 96,069 is: 147,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,587.88 : 96,069 = 96,069 : x
  2. Step 2: Convert to fraction form
    62,587.88/96,069 = 96,069/x
  3. Step 3: Cross multiply
    62,587.88x = 96,069 × 96,069
  4. Step 4: Simplify right side
    62,587.88x = 9,229,252,761
  5. Step 5: Solve for x
    x = 9,229,252,761/62,587.88
  6. Step 6: Final answer
    x = 147,460.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.