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Finding the Third Proportional to 62,554 and 127,654

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Solution

The third proportional to 62,554 and 127,654 is: 260,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,554 : 127,654 = 127,654 : x
  2. Step 2: Convert to fraction form
    62,554/127,654 = 127,654/x
  3. Step 3: Cross multiply
    62,554x = 127,654 × 127,654
  4. Step 4: Simplify right side
    62,554x = 16,295,543,716
  5. Step 5: Solve for x
    x = 16,295,543,716/62,554
  6. Step 6: Final answer
    x = 260,503.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.