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Finding the Third Proportional to 121,399.50 and 247,614

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Solution

The third proportional to 121,399.50 and 247,614 is: 505,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,399.50 : 247,614 = 247,614 : x
  2. Step 2: Convert to fraction form
    121,399.50/247,614 = 247,614/x
  3. Step 3: Cross multiply
    121,399.50x = 247,614 × 247,614
  4. Step 4: Simplify right side
    121,399.50x = 61,312,692,996
  5. Step 5: Solve for x
    x = 61,312,692,996/121,399.50
  6. Step 6: Final answer
    x = 505,048.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.