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Finding the Third Proportional to 88,882 and 125,006

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Solution

The third proportional to 88,882 and 125,006 is: 175,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,882 : 125,006 = 125,006 : x
  2. Step 2: Convert to fraction form
    88,882/125,006 = 125,006/x
  3. Step 3: Cross multiply
    88,882x = 125,006 × 125,006
  4. Step 4: Simplify right side
    88,882x = 15,626,500,036
  5. Step 5: Solve for x
    x = 15,626,500,036/88,882
  6. Step 6: Final answer
    x = 175,811.75

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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.