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Finding the Third Proportional to 57,850 and 87,503

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Solution

The third proportional to 57,850 and 87,503 is: 132,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,850 : 87,503 = 87,503 : x
  2. Step 2: Convert to fraction form
    57,850/87,503 = 87,503/x
  3. Step 3: Cross multiply
    57,850x = 87,503 × 87,503
  4. Step 4: Simplify right side
    57,850x = 7,656,775,009
  5. Step 5: Solve for x
    x = 7,656,775,009/57,850
  6. Step 6: Final answer
    x = 132,355.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.