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Finding the Third Proportional to 76,142 and 165,352

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Solution

The third proportional to 76,142 and 165,352 is: 359,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142 : 165,352 = 165,352 : x
  2. Step 2: Convert to fraction form
    76,142/165,352 = 165,352/x
  3. Step 3: Cross multiply
    76,142x = 165,352 × 165,352
  4. Step 4: Simplify right side
    76,142x = 27,341,283,904
  5. Step 5: Solve for x
    x = 27,341,283,904/76,142
  6. Step 6: Final answer
    x = 359,082.82

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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.