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Finding the Third Proportional to 59,400.84 and 126,220.78

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Solution

The third proportional to 59,400.84 and 126,220.78 is: 268,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,400.84 : 126,220.78 = 126,220.78 : x
  2. Step 2: Convert to fraction form
    59,400.84/126,220.78 = 126,220.78/x
  3. Step 3: Cross multiply
    59,400.84x = 126,220.78 × 126,220.78
  4. Step 4: Simplify right side
    59,400.84x = 15,931,685,619.36
  5. Step 5: Solve for x
    x = 15,931,685,619.36/59,400.84
  6. Step 6: Final answer
    x = 268,206.39

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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.