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Finding the Third Proportional to 75,971 and 117,927

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Solution

The third proportional to 75,971 and 117,927 is: 183,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,971 : 117,927 = 117,927 : x
  2. Step 2: Convert to fraction form
    75,971/117,927 = 117,927/x
  3. Step 3: Cross multiply
    75,971x = 117,927 × 117,927
  4. Step 4: Simplify right side
    75,971x = 13,906,777,329
  5. Step 5: Solve for x
    x = 13,906,777,329/75,971
  6. Step 6: Final answer
    x = 183,053.76

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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.