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Finding the Third Proportional to 58,990 and 86,757

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Solution

The third proportional to 58,990 and 86,757 is: 127,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,990 : 86,757 = 86,757 : x
  2. Step 2: Convert to fraction form
    58,990/86,757 = 86,757/x
  3. Step 3: Cross multiply
    58,990x = 86,757 × 86,757
  4. Step 4: Simplify right side
    58,990x = 7,526,777,049
  5. Step 5: Solve for x
    x = 7,526,777,049/58,990
  6. Step 6: Final answer
    x = 127,594.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.