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Finding the Third Proportional to 45,812 and 67,080

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Solution

The third proportional to 45,812 and 67,080 is: 98,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,812 : 67,080 = 67,080 : x
  2. Step 2: Convert to fraction form
    45,812/67,080 = 67,080/x
  3. Step 3: Cross multiply
    45,812x = 67,080 × 67,080
  4. Step 4: Simplify right side
    45,812x = 4,499,726,400
  5. Step 5: Solve for x
    x = 4,499,726,400/45,812
  6. Step 6: Final answer
    x = 98,221.57

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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.