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Finding the Third Proportional to 76,680 and 166,858

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Solution

The third proportional to 76,680 and 166,858 is: 363,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,680 : 166,858 = 166,858 : x
  2. Step 2: Convert to fraction form
    76,680/166,858 = 166,858/x
  3. Step 3: Cross multiply
    76,680x = 166,858 × 166,858
  4. Step 4: Simplify right side
    76,680x = 27,841,592,164
  5. Step 5: Solve for x
    x = 27,841,592,164/76,680
  6. Step 6: Final answer
    x = 363,088.06

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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.