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Finding the Third Proportional to 47,966 and 75,080

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Solution

The third proportional to 47,966 and 75,080 is: 117,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,966 : 75,080 = 75,080 : x
  2. Step 2: Convert to fraction form
    47,966/75,080 = 75,080/x
  3. Step 3: Cross multiply
    47,966x = 75,080 × 75,080
  4. Step 4: Simplify right side
    47,966x = 5,637,006,400
  5. Step 5: Solve for x
    x = 5,637,006,400/47,966
  6. Step 6: Final answer
    x = 117,520.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.