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Finding the Third Proportional to 81,567.75 and 114,867

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Solution

The third proportional to 81,567.75 and 114,867 is: 161,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,567.75 : 114,867 = 114,867 : x
  2. Step 2: Convert to fraction form
    81,567.75/114,867 = 114,867/x
  3. Step 3: Cross multiply
    81,567.75x = 114,867 × 114,867
  4. Step 4: Simplify right side
    81,567.75x = 13,194,427,689
  5. Step 5: Solve for x
    x = 13,194,427,689/81,567.75
  6. Step 6: Final answer
    x = 161,760.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.