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Finding the Third Proportional to 75,960 and 117,922

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Solution

The third proportional to 75,960 and 117,922 is: 183,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,960 : 117,922 = 117,922 : x
  2. Step 2: Convert to fraction form
    75,960/117,922 = 117,922/x
  3. Step 3: Cross multiply
    75,960x = 117,922 × 117,922
  4. Step 4: Simplify right side
    75,960x = 13,905,598,084
  5. Step 5: Solve for x
    x = 13,905,598,084/75,960
  6. Step 6: Final answer
    x = 183,064.75

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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.