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Finding the Third Proportional to 75,320 and 162,314

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Solution

The third proportional to 75,320 and 162,314 is: 349,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,320 : 162,314 = 162,314 : x
  2. Step 2: Convert to fraction form
    75,320/162,314 = 162,314/x
  3. Step 3: Cross multiply
    75,320x = 162,314 × 162,314
  4. Step 4: Simplify right side
    75,320x = 26,345,834,596
  5. Step 5: Solve for x
    x = 26,345,834,596/75,320
  6. Step 6: Final answer
    x = 349,785.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.