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Finding the Third Proportional to 41,260 and 60,125

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Solution

The third proportional to 41,260 and 60,125 is: 87,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,260 : 60,125 = 60,125 : x
  2. Step 2: Convert to fraction form
    41,260/60,125 = 60,125/x
  3. Step 3: Cross multiply
    41,260x = 60,125 × 60,125
  4. Step 4: Simplify right side
    41,260x = 3,615,015,625
  5. Step 5: Solve for x
    x = 3,615,015,625/41,260
  6. Step 6: Final answer
    x = 87,615.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.