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Finding the Third Proportional to 49,167 and 65,458.13

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Solution

The third proportional to 49,167 and 65,458.13 is: 87,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,167 : 65,458.13 = 65,458.13 : x
  2. Step 2: Convert to fraction form
    49,167/65,458.13 = 65,458.13/x
  3. Step 3: Cross multiply
    49,167x = 65,458.13 × 65,458.13
  4. Step 4: Simplify right side
    49,167x = 4,284,766,128.52
  5. Step 5: Solve for x
    x = 4,284,766,128.52/49,167
  6. Step 6: Final answer
    x = 87,147.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.