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Finding the Third Proportional to 62,218 and 93,837

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Solution

The third proportional to 62,218 and 93,837 is: 141,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,218 : 93,837 = 93,837 : x
  2. Step 2: Convert to fraction form
    62,218/93,837 = 93,837/x
  3. Step 3: Cross multiply
    62,218x = 93,837 × 93,837
  4. Step 4: Simplify right side
    62,218x = 8,805,382,569
  5. Step 5: Solve for x
    x = 8,805,382,569/62,218
  6. Step 6: Final answer
    x = 141,524.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.