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Finding the Third Proportional to 76,292 and 165,292

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Solution

The third proportional to 76,292 and 165,292 is: 358,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,292 : 165,292 = 165,292 : x
  2. Step 2: Convert to fraction form
    76,292/165,292 = 165,292/x
  3. Step 3: Cross multiply
    76,292x = 165,292 × 165,292
  4. Step 4: Simplify right side
    76,292x = 27,321,445,264
  5. Step 5: Solve for x
    x = 27,321,445,264/76,292
  6. Step 6: Final answer
    x = 358,116.78

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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.