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Finding the Third Proportional to 113,624 and 168,249

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Solution

The third proportional to 113,624 and 168,249 is: 249,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,624 : 168,249 = 168,249 : x
  2. Step 2: Convert to fraction form
    113,624/168,249 = 168,249/x
  3. Step 3: Cross multiply
    113,624x = 168,249 × 168,249
  4. Step 4: Simplify right side
    113,624x = 28,307,726,001
  5. Step 5: Solve for x
    x = 28,307,726,001/113,624
  6. Step 6: Final answer
    x = 249,135.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.