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Finding the Third Proportional to 60,776 and 126,425

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Solution

The third proportional to 60,776 and 126,425 is: 262,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,776 : 126,425 = 126,425 : x
  2. Step 2: Convert to fraction form
    60,776/126,425 = 126,425/x
  3. Step 3: Cross multiply
    60,776x = 126,425 × 126,425
  4. Step 4: Simplify right side
    60,776x = 15,983,280,625
  5. Step 5: Solve for x
    x = 15,983,280,625/60,776
  6. Step 6: Final answer
    x = 262,986.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.