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Finding the Third Proportional to 75,207 and 160,422

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Solution

The third proportional to 75,207 and 160,422 is: 342,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,207 : 160,422 = 160,422 : x
  2. Step 2: Convert to fraction form
    75,207/160,422 = 160,422/x
  3. Step 3: Cross multiply
    75,207x = 160,422 × 160,422
  4. Step 4: Simplify right side
    75,207x = 25,735,218,084
  5. Step 5: Solve for x
    x = 25,735,218,084/75,207
  6. Step 6: Final answer
    x = 342,191.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.