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Finding the Third Proportional to 49,048 and 77,718

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Solution

The third proportional to 49,048 and 77,718 is: 123,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,048 : 77,718 = 77,718 : x
  2. Step 2: Convert to fraction form
    49,048/77,718 = 77,718/x
  3. Step 3: Cross multiply
    49,048x = 77,718 × 77,718
  4. Step 4: Simplify right side
    49,048x = 6,040,087,524
  5. Step 5: Solve for x
    x = 6,040,087,524/49,048
  6. Step 6: Final answer
    x = 123,146.46

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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.