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Finding the Third Proportional to 61,911 and 131,814

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Solution

The third proportional to 61,911 and 131,814 is: 280,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,911 : 131,814 = 131,814 : x
  2. Step 2: Convert to fraction form
    61,911/131,814 = 131,814/x
  3. Step 3: Cross multiply
    61,911x = 131,814 × 131,814
  4. Step 4: Simplify right side
    61,911x = 17,374,930,596
  5. Step 5: Solve for x
    x = 17,374,930,596/61,911
  6. Step 6: Final answer
    x = 280,643.68

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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.