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Finding the Third Proportional to 54,948 and 117,670

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Solution

The third proportional to 54,948 and 117,670 is: 251,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948 : 117,670 = 117,670 : x
  2. Step 2: Convert to fraction form
    54,948/117,670 = 117,670/x
  3. Step 3: Cross multiply
    54,948x = 117,670 × 117,670
  4. Step 4: Simplify right side
    54,948x = 13,846,228,900
  5. Step 5: Solve for x
    x = 13,846,228,900/54,948
  6. Step 6: Final answer
    x = 251,987.86

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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.