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Finding the Third Proportional to 62,220 and 95,635

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Solution

The third proportional to 62,220 and 95,635 is: 146,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,220 : 95,635 = 95,635 : x
  2. Step 2: Convert to fraction form
    62,220/95,635 = 95,635/x
  3. Step 3: Cross multiply
    62,220x = 95,635 × 95,635
  4. Step 4: Simplify right side
    62,220x = 9,146,053,225
  5. Step 5: Solve for x
    x = 9,146,053,225/62,220
  6. Step 6: Final answer
    x = 146,995.39

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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.