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Finding the Third Proportional to 62,586 and 93,843

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Solution

The third proportional to 62,586 and 93,843 is: 140,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,586 : 93,843 = 93,843 : x
  2. Step 2: Convert to fraction form
    62,586/93,843 = 93,843/x
  3. Step 3: Cross multiply
    62,586x = 93,843 × 93,843
  4. Step 4: Simplify right side
    62,586x = 8,806,508,649
  5. Step 5: Solve for x
    x = 8,806,508,649/62,586
  6. Step 6: Final answer
    x = 140,710.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.