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Finding the Third Proportional to 54,139 and 118,105

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Solution

The third proportional to 54,139 and 118,105 is: 257,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,139 : 118,105 = 118,105 : x
  2. Step 2: Convert to fraction form
    54,139/118,105 = 118,105/x
  3. Step 3: Cross multiply
    54,139x = 118,105 × 118,105
  4. Step 4: Simplify right side
    54,139x = 13,948,791,025
  5. Step 5: Solve for x
    x = 13,948,791,025/54,139
  6. Step 6: Final answer
    x = 257,647.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.