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Finding the Third Proportional to 88,184 and 125,661

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Solution

The third proportional to 88,184 and 125,661 is: 179,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,184 : 125,661 = 125,661 : x
  2. Step 2: Convert to fraction form
    88,184/125,661 = 125,661/x
  3. Step 3: Cross multiply
    88,184x = 125,661 × 125,661
  4. Step 4: Simplify right side
    88,184x = 15,790,686,921
  5. Step 5: Solve for x
    x = 15,790,686,921/88,184
  6. Step 6: Final answer
    x = 179,065.22

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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.