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Finding the Third Proportional to 75,292 and 163,552

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Solution

The third proportional to 75,292 and 163,552 is: 355,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,292 : 163,552 = 163,552 : x
  2. Step 2: Convert to fraction form
    75,292/163,552 = 163,552/x
  3. Step 3: Cross multiply
    75,292x = 163,552 × 163,552
  4. Step 4: Simplify right side
    75,292x = 26,749,256,704
  5. Step 5: Solve for x
    x = 26,749,256,704/75,292
  6. Step 6: Final answer
    x = 355,273.56

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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.