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Finding the Third Proportional to 75,200 and 162,976

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Solution

The third proportional to 75,200 and 162,976 is: 353,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200 : 162,976 = 162,976 : x
  2. Step 2: Convert to fraction form
    75,200/162,976 = 162,976/x
  3. Step 3: Cross multiply
    75,200x = 162,976 × 162,976
  4. Step 4: Simplify right side
    75,200x = 26,561,176,576
  5. Step 5: Solve for x
    x = 26,561,176,576/75,200
  6. Step 6: Final answer
    x = 353,207.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.