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Finding the Third Proportional to 75,292 and 165,352

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Solution

The third proportional to 75,292 and 165,352 is: 363,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,292 : 165,352 = 165,352 : x
  2. Step 2: Convert to fraction form
    75,292/165,352 = 165,352/x
  3. Step 3: Cross multiply
    75,292x = 165,352 × 165,352
  4. Step 4: Simplify right side
    75,292x = 27,341,283,904
  5. Step 5: Solve for x
    x = 27,341,283,904/75,292
  6. Step 6: Final answer
    x = 363,136.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.