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Finding the Third Proportional to 88,444 and 125,026

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Solution

The third proportional to 88,444 and 125,026 is: 176,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,444 : 125,026 = 125,026 : x
  2. Step 2: Convert to fraction form
    88,444/125,026 = 125,026/x
  3. Step 3: Cross multiply
    88,444x = 125,026 × 125,026
  4. Step 4: Simplify right side
    88,444x = 15,631,500,676
  5. Step 5: Solve for x
    x = 15,631,500,676/88,444
  6. Step 6: Final answer
    x = 176,738.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.