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Finding the Third Proportional to 60,974 and 93,839

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Solution

The third proportional to 60,974 and 93,839 is: 144,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,974 : 93,839 = 93,839 : x
  2. Step 2: Convert to fraction form
    60,974/93,839 = 93,839/x
  3. Step 3: Cross multiply
    60,974x = 93,839 × 93,839
  4. Step 4: Simplify right side
    60,974x = 8,805,757,921
  5. Step 5: Solve for x
    x = 8,805,757,921/60,974
  6. Step 6: Final answer
    x = 144,418.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.