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Finding the Third Proportional to 107,751.75 and 158,499.75

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Solution

The third proportional to 107,751.75 and 158,499.75 is: 233,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,751.75 : 158,499.75 = 158,499.75 : x
  2. Step 2: Convert to fraction form
    107,751.75/158,499.75 = 158,499.75/x
  3. Step 3: Cross multiply
    107,751.75x = 158,499.75 × 158,499.75
  4. Step 4: Simplify right side
    107,751.75x = 25,122,170,750.06
  5. Step 5: Solve for x
    x = 25,122,170,750.06/107,751.75
  6. Step 6: Final answer
    x = 233,148.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.