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Finding the Third Proportional to 47,976 and 75,114

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Solution

The third proportional to 47,976 and 75,114 is: 117,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,976 : 75,114 = 75,114 : x
  2. Step 2: Convert to fraction form
    47,976/75,114 = 75,114/x
  3. Step 3: Cross multiply
    47,976x = 75,114 × 75,114
  4. Step 4: Simplify right side
    47,976x = 5,642,112,996
  5. Step 5: Solve for x
    x = 5,642,112,996/47,976
  6. Step 6: Final answer
    x = 117,602.82

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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.