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Finding the Third Proportional to 49,062 and 77,718.75

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Solution

The third proportional to 49,062 and 77,718.75 is: 123,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,062 : 77,718.75 = 77,718.75 : x
  2. Step 2: Convert to fraction form
    49,062/77,718.75 = 77,718.75/x
  3. Step 3: Cross multiply
    49,062x = 77,718.75 × 77,718.75
  4. Step 4: Simplify right side
    49,062x = 6,040,204,101.56
  5. Step 5: Solve for x
    x = 6,040,204,101.56/49,062
  6. Step 6: Final answer
    x = 123,113.69

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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.