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Finding the Third Proportional to 59,424 and 126,480

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Solution

The third proportional to 59,424 and 126,480 is: 269,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,424 : 126,480 = 126,480 : x
  2. Step 2: Convert to fraction form
    59,424/126,480 = 126,480/x
  3. Step 3: Cross multiply
    59,424x = 126,480 × 126,480
  4. Step 4: Simplify right side
    59,424x = 15,997,190,400
  5. Step 5: Solve for x
    x = 15,997,190,400/59,424
  6. Step 6: Final answer
    x = 269,204.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.