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Finding the Third Proportional to 89,740 and 125,742

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Solution

The third proportional to 89,740 and 125,742 is: 176,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,740 : 125,742 = 125,742 : x
  2. Step 2: Convert to fraction form
    89,740/125,742 = 125,742/x
  3. Step 3: Cross multiply
    89,740x = 125,742 × 125,742
  4. Step 4: Simplify right side
    89,740x = 15,811,050,564
  5. Step 5: Solve for x
    x = 15,811,050,564/89,740
  6. Step 6: Final answer
    x = 176,187.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.