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Finding the Third Proportional to 107,032.88 and 166,677.19

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Solution

The third proportional to 107,032.88 and 166,677.19 is: 259,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,032.88 : 166,677.19 = 166,677.19 : x
  2. Step 2: Convert to fraction form
    107,032.88/166,677.19 = 166,677.19/x
  3. Step 3: Cross multiply
    107,032.88x = 166,677.19 × 166,677.19
  4. Step 4: Simplify right side
    107,032.88x = 27,781,284,832.91
  5. Step 5: Solve for x
    x = 27,781,284,832.91/107,032.88
  6. Step 6: Final answer
    x = 259,558.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.