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Finding the Third Proportional to 52,661 and 125,915

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Solution

The third proportional to 52,661 and 125,915 is: 301,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,661 : 125,915 = 125,915 : x
  2. Step 2: Convert to fraction form
    52,661/125,915 = 125,915/x
  3. Step 3: Cross multiply
    52,661x = 125,915 × 125,915
  4. Step 4: Simplify right side
    52,661x = 15,854,587,225
  5. Step 5: Solve for x
    x = 15,854,587,225/52,661
  6. Step 6: Final answer
    x = 301,068.86

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.