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Finding the Third Proportional to 54,498 and 117,596

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Solution

The third proportional to 54,498 and 117,596 is: 253,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498 : 117,596 = 117,596 : x
  2. Step 2: Convert to fraction form
    54,498/117,596 = 117,596/x
  3. Step 3: Cross multiply
    54,498x = 117,596 × 117,596
  4. Step 4: Simplify right side
    54,498x = 13,828,819,216
  5. Step 5: Solve for x
    x = 13,828,819,216/54,498
  6. Step 6: Final answer
    x = 253,749.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.