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Finding the Third Proportional to 43,877.13 and 85,567.25

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Solution

The third proportional to 43,877.13 and 85,567.25 is: 166,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,877.13 : 85,567.25 = 85,567.25 : x
  2. Step 2: Convert to fraction form
    43,877.13/85,567.25 = 85,567.25/x
  3. Step 3: Cross multiply
    43,877.13x = 85,567.25 × 85,567.25
  4. Step 4: Simplify right side
    43,877.13x = 7,321,754,272.56
  5. Step 5: Solve for x
    x = 7,321,754,272.56/43,877.13
  6. Step 6: Final answer
    x = 166,869.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.