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Finding the Third Proportional to 54,508 and 116,897

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Solution

The third proportional to 54,508 and 116,897 is: 250,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508 : 116,897 = 116,897 : x
  2. Step 2: Convert to fraction form
    54,508/116,897 = 116,897/x
  3. Step 3: Cross multiply
    54,508x = 116,897 × 116,897
  4. Step 4: Simplify right side
    54,508x = 13,664,908,609
  5. Step 5: Solve for x
    x = 13,664,908,609/54,508
  6. Step 6: Final answer
    x = 250,695.47

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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.