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Finding the Third Proportional to 41,258 and 60,123

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Solution

The third proportional to 41,258 and 60,123 is: 87,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,258 : 60,123 = 60,123 : x
  2. Step 2: Convert to fraction form
    41,258/60,123 = 60,123/x
  3. Step 3: Cross multiply
    41,258x = 60,123 × 60,123
  4. Step 4: Simplify right side
    41,258x = 3,614,775,129
  5. Step 5: Solve for x
    x = 3,614,775,129/41,258
  6. Step 6: Final answer
    x = 87,613.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.