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Finding the Third Proportional to 54,572 and 119,554

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Solution

The third proportional to 54,572 and 119,554 is: 261,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,572 : 119,554 = 119,554 : x
  2. Step 2: Convert to fraction form
    54,572/119,554 = 119,554/x
  3. Step 3: Cross multiply
    54,572x = 119,554 × 119,554
  4. Step 4: Simplify right side
    54,572x = 14,293,158,916
  5. Step 5: Solve for x
    x = 14,293,158,916/54,572
  6. Step 6: Final answer
    x = 261,913.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.