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Finding the Third Proportional to 76,677 and 166,854

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Solution

The third proportional to 76,677 and 166,854 is: 363,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677 : 166,854 = 166,854 : x
  2. Step 2: Convert to fraction form
    76,677/166,854 = 166,854/x
  3. Step 3: Cross multiply
    76,677x = 166,854 × 166,854
  4. Step 4: Simplify right side
    76,677x = 27,840,257,316
  5. Step 5: Solve for x
    x = 27,840,257,316/76,677
  6. Step 6: Final answer
    x = 363,084.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.