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Finding the Third Proportional to 88,182 and 125,658

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Solution

The third proportional to 88,182 and 125,658 is: 179,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,182 : 125,658 = 125,658 : x
  2. Step 2: Convert to fraction form
    88,182/125,658 = 125,658/x
  3. Step 3: Cross multiply
    88,182x = 125,658 × 125,658
  4. Step 4: Simplify right side
    88,182x = 15,789,932,964
  5. Step 5: Solve for x
    x = 15,789,932,964/88,182
  6. Step 6: Final answer
    x = 179,060.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.