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Finding the Third Proportional to 59,784.75 and 126,859.50

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Solution

The third proportional to 59,784.75 and 126,859.50 is: 269,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,784.75 : 126,859.50 = 126,859.50 : x
  2. Step 2: Convert to fraction form
    59,784.75/126,859.50 = 126,859.50/x
  3. Step 3: Cross multiply
    59,784.75x = 126,859.50 × 126,859.50
  4. Step 4: Simplify right side
    59,784.75x = 16,093,332,740.25
  5. Step 5: Solve for x
    x = 16,093,332,740.25/59,784.75
  6. Step 6: Final answer
    x = 269,187.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.