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Finding the Third Proportional to 49,892 and 78,987

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Solution

The third proportional to 49,892 and 78,987 is: 125,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,892 : 78,987 = 78,987 : x
  2. Step 2: Convert to fraction form
    49,892/78,987 = 78,987/x
  3. Step 3: Cross multiply
    49,892x = 78,987 × 78,987
  4. Step 4: Simplify right side
    49,892x = 6,238,946,169
  5. Step 5: Solve for x
    x = 6,238,946,169/49,892
  6. Step 6: Final answer
    x = 125,049.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.