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Finding the Third Proportional to 115,498 and 169,249

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Solution

The third proportional to 115,498 and 169,249 is: 248,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,498 : 169,249 = 169,249 : x
  2. Step 2: Convert to fraction form
    115,498/169,249 = 169,249/x
  3. Step 3: Cross multiply
    115,498x = 169,249 × 169,249
  4. Step 4: Simplify right side
    115,498x = 28,645,224,001
  5. Step 5: Solve for x
    x = 28,645,224,001/115,498
  6. Step 6: Final answer
    x = 248,014.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.