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Finding the Third Proportional to 75,969 and 117,924

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Solution

The third proportional to 75,969 and 117,924 is: 183,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969 : 117,924 = 117,924 : x
  2. Step 2: Convert to fraction form
    75,969/117,924 = 117,924/x
  3. Step 3: Cross multiply
    75,969x = 117,924 × 117,924
  4. Step 4: Simplify right side
    75,969x = 13,906,069,776
  5. Step 5: Solve for x
    x = 13,906,069,776/75,969
  6. Step 6: Final answer
    x = 183,049.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.