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Finding the Third Proportional to 75,959.25 and 117,911.25

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Solution

The third proportional to 75,959.25 and 117,911.25 is: 183,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.25 : 117,911.25 = 117,911.25 : x
  2. Step 2: Convert to fraction form
    75,959.25/117,911.25 = 117,911.25/x
  3. Step 3: Cross multiply
    75,959.25x = 117,911.25 × 117,911.25
  4. Step 4: Simplify right side
    75,959.25x = 13,903,062,876.56
  5. Step 5: Solve for x
    x = 13,903,062,876.56/75,959.25
  6. Step 6: Final answer
    x = 183,033.18

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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.