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Finding the Third Proportional to 76,772 and 166,657

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Solution

The third proportional to 76,772 and 166,657 is: 361,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,772 : 166,657 = 166,657 : x
  2. Step 2: Convert to fraction form
    76,772/166,657 = 166,657/x
  3. Step 3: Cross multiply
    76,772x = 166,657 × 166,657
  4. Step 4: Simplify right side
    76,772x = 27,774,555,649
  5. Step 5: Solve for x
    x = 27,774,555,649/76,772
  6. Step 6: Final answer
    x = 361,779.76

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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.