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Finding the Third Proportional to 76,892.63 and 169,779.38

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Solution

The third proportional to 76,892.63 and 169,779.38 is: 374,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,892.63 : 169,779.38 = 169,779.38 : x
  2. Step 2: Convert to fraction form
    76,892.63/169,779.38 = 169,779.38/x
  3. Step 3: Cross multiply
    76,892.63x = 169,779.38 × 169,779.38
  4. Step 4: Simplify right side
    76,892.63x = 28,825,036,175.39
  5. Step 5: Solve for x
    x = 28,825,036,175.39/76,892.63
  6. Step 6: Final answer
    x = 374,873.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.