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Finding the Third Proportional to 76,214 and 166,957

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Solution

The third proportional to 76,214 and 166,957 is: 365,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,214 : 166,957 = 166,957 : x
  2. Step 2: Convert to fraction form
    76,214/166,957 = 166,957/x
  3. Step 3: Cross multiply
    76,214x = 166,957 × 166,957
  4. Step 4: Simplify right side
    76,214x = 27,874,639,849
  5. Step 5: Solve for x
    x = 27,874,639,849/76,214
  6. Step 6: Final answer
    x = 365,741.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.