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Finding the Third Proportional to 57,465.75 and 86,277.75

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Solution

The third proportional to 57,465.75 and 86,277.75 is: 129,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465.75 : 86,277.75 = 86,277.75 : x
  2. Step 2: Convert to fraction form
    57,465.75/86,277.75 = 86,277.75/x
  3. Step 3: Cross multiply
    57,465.75x = 86,277.75 × 86,277.75
  4. Step 4: Simplify right side
    57,465.75x = 7,443,850,145.06
  5. Step 5: Solve for x
    x = 7,443,850,145.06/57,465.75
  6. Step 6: Final answer
    x = 129,535.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.