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Finding the Third Proportional to 89,530 and 125,503

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Solution

The third proportional to 89,530 and 125,503 is: 175,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,530 : 125,503 = 125,503 : x
  2. Step 2: Convert to fraction form
    89,530/125,503 = 125,503/x
  3. Step 3: Cross multiply
    89,530x = 125,503 × 125,503
  4. Step 4: Simplify right side
    89,530x = 15,751,003,009
  5. Step 5: Solve for x
    x = 15,751,003,009/89,530
  6. Step 6: Final answer
    x = 175,929.89

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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.