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Finding the Third Proportional to 53,498 and 113,908

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Solution

The third proportional to 53,498 and 113,908 is: 242,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,498 : 113,908 = 113,908 : x
  2. Step 2: Convert to fraction form
    53,498/113,908 = 113,908/x
  3. Step 3: Cross multiply
    53,498x = 113,908 × 113,908
  4. Step 4: Simplify right side
    53,498x = 12,975,032,464
  5. Step 5: Solve for x
    x = 12,975,032,464/53,498
  6. Step 6: Final answer
    x = 242,533.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.