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Finding the Third Proportional to 54,101 and 117,331

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Solution

The third proportional to 54,101 and 117,331 is: 254,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,101 : 117,331 = 117,331 : x
  2. Step 2: Convert to fraction form
    54,101/117,331 = 117,331/x
  3. Step 3: Cross multiply
    54,101x = 117,331 × 117,331
  4. Step 4: Simplify right side
    54,101x = 13,766,563,561
  5. Step 5: Solve for x
    x = 13,766,563,561/54,101
  6. Step 6: Final answer
    x = 254,460.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.