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Finding the Third Proportional to 70,176.75 and 111,552.75

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Solution

The third proportional to 70,176.75 and 111,552.75 is: 177,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,176.75 : 111,552.75 = 111,552.75 : x
  2. Step 2: Convert to fraction form
    70,176.75/111,552.75 = 111,552.75/x
  3. Step 3: Cross multiply
    70,176.75x = 111,552.75 × 111,552.75
  4. Step 4: Simplify right side
    70,176.75x = 12,444,016,032.56
  5. Step 5: Solve for x
    x = 12,444,016,032.56/70,176.75
  6. Step 6: Final answer
    x = 177,323.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.