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Finding the Third Proportional to 59,717.25 and 86,325.75

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Solution

The third proportional to 59,717.25 and 86,325.75 is: 124,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,717.25 : 86,325.75 = 86,325.75 : x
  2. Step 2: Convert to fraction form
    59,717.25/86,325.75 = 86,325.75/x
  3. Step 3: Cross multiply
    59,717.25x = 86,325.75 × 86,325.75
  4. Step 4: Simplify right side
    59,717.25x = 7,452,135,113.06
  5. Step 5: Solve for x
    x = 7,452,135,113.06/59,717.25
  6. Step 6: Final answer
    x = 124,790.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.