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Finding the Third Proportional to 54,231.75 and 112,564.69

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Solution

The third proportional to 54,231.75 and 112,564.69 is: 233,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,231.75 : 112,564.69 = 112,564.69 : x
  2. Step 2: Convert to fraction form
    54,231.75/112,564.69 = 112,564.69/x
  3. Step 3: Cross multiply
    54,231.75x = 112,564.69 × 112,564.69
  4. Step 4: Simplify right side
    54,231.75x = 12,670,808,871.97
  5. Step 5: Solve for x
    x = 12,670,808,871.97/54,231.75
  6. Step 6: Final answer
    x = 233,641.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.