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Finding the Third Proportional to 54,854 and 117,472

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Solution

The third proportional to 54,854 and 117,472 is: 251,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,854 : 117,472 = 117,472 : x
  2. Step 2: Convert to fraction form
    54,854/117,472 = 117,472/x
  3. Step 3: Cross multiply
    54,854x = 117,472 × 117,472
  4. Step 4: Simplify right side
    54,854x = 13,799,670,784
  5. Step 5: Solve for x
    x = 13,799,670,784/54,854
  6. Step 6: Final answer
    x = 251,570.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.