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Finding the Third Proportional to 75,966 and 117,931

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Solution

The third proportional to 75,966 and 117,931 is: 183,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,966 : 117,931 = 117,931 : x
  2. Step 2: Convert to fraction form
    75,966/117,931 = 117,931/x
  3. Step 3: Cross multiply
    75,966x = 117,931 × 117,931
  4. Step 4: Simplify right side
    75,966x = 13,907,720,761
  5. Step 5: Solve for x
    x = 13,907,720,761/75,966
  6. Step 6: Final answer
    x = 183,078.23

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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.