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Finding the Third Proportional to 47,960 and 75,069

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Solution

The third proportional to 47,960 and 75,069 is: 117,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,960 : 75,069 = 75,069 : x
  2. Step 2: Convert to fraction form
    47,960/75,069 = 75,069/x
  3. Step 3: Cross multiply
    47,960x = 75,069 × 75,069
  4. Step 4: Simplify right side
    47,960x = 5,635,354,761
  5. Step 5: Solve for x
    x = 5,635,354,761/47,960
  6. Step 6: Final answer
    x = 117,501.14

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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.