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Finding the Third Proportional to 76,778 and 166,132

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Solution

The third proportional to 76,778 and 166,132 is: 359,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,778 : 166,132 = 166,132 : x
  2. Step 2: Convert to fraction form
    76,778/166,132 = 166,132/x
  3. Step 3: Cross multiply
    76,778x = 166,132 × 166,132
  4. Step 4: Simplify right side
    76,778x = 27,599,841,424
  5. Step 5: Solve for x
    x = 27,599,841,424/76,778
  6. Step 6: Final answer
    x = 359,475.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.