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Finding the Third Proportional to 86,147.30 and 111,451.57

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Solution

The third proportional to 86,147.30 and 111,451.57 is: 144,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,147.30 : 111,451.57 = 111,451.57 : x
  2. Step 2: Convert to fraction form
    86,147.30/111,451.57 = 111,451.57/x
  3. Step 3: Cross multiply
    86,147.30x = 111,451.57 × 111,451.57
  4. Step 4: Simplify right side
    86,147.30x = 12,421,452,525.12
  5. Step 5: Solve for x
    x = 12,421,452,525.12/86,147.30
  6. Step 6: Final answer
    x = 144,188.53

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.