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Finding the Third Proportional to 39,950 and 59,139

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Solution

The third proportional to 39,950 and 59,139 is: 87,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,950 : 59,139 = 59,139 : x
  2. Step 2: Convert to fraction form
    39,950/59,139 = 59,139/x
  3. Step 3: Cross multiply
    39,950x = 59,139 × 59,139
  4. Step 4: Simplify right side
    39,950x = 3,497,421,321
  5. Step 5: Solve for x
    x = 3,497,421,321/39,950
  6. Step 6: Final answer
    x = 87,544.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.