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Finding the Third Proportional to 60,033 and 86,950

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Solution

The third proportional to 60,033 and 86,950 is: 125,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,033 : 86,950 = 86,950 : x
  2. Step 2: Convert to fraction form
    60,033/86,950 = 86,950/x
  3. Step 3: Cross multiply
    60,033x = 86,950 × 86,950
  4. Step 4: Simplify right side
    60,033x = 7,560,302,500
  5. Step 5: Solve for x
    x = 7,560,302,500/60,033
  6. Step 6: Final answer
    x = 125,935.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.