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Finding the Third Proportional to 53,808.75 and 111,503.25

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Solution

The third proportional to 53,808.75 and 111,503.25 is: 231,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,808.75 : 111,503.25 = 111,503.25 : x
  2. Step 2: Convert to fraction form
    53,808.75/111,503.25 = 111,503.25/x
  3. Step 3: Cross multiply
    53,808.75x = 111,503.25 × 111,503.25
  4. Step 4: Simplify right side
    53,808.75x = 12,432,974,760.56
  5. Step 5: Solve for x
    x = 12,432,974,760.56/53,808.75
  6. Step 6: Final answer
    x = 231,058.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.