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Finding the Third Proportional to 48,540 and 76,159

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Solution

The third proportional to 48,540 and 76,159 is: 119,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,540 : 76,159 = 76,159 : x
  2. Step 2: Convert to fraction form
    48,540/76,159 = 76,159/x
  3. Step 3: Cross multiply
    48,540x = 76,159 × 76,159
  4. Step 4: Simplify right side
    48,540x = 5,800,193,281
  5. Step 5: Solve for x
    x = 5,800,193,281/48,540
  6. Step 6: Final answer
    x = 119,493.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.