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Finding the Third Proportional to 88,198 and 125,737

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Solution

The third proportional to 88,198 and 125,737 is: 179,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,198 : 125,737 = 125,737 : x
  2. Step 2: Convert to fraction form
    88,198/125,737 = 125,737/x
  3. Step 3: Cross multiply
    88,198x = 125,737 × 125,737
  4. Step 4: Simplify right side
    88,198x = 15,809,793,169
  5. Step 5: Solve for x
    x = 15,809,793,169/88,198
  6. Step 6: Final answer
    x = 179,253.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.