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Finding the Third Proportional to 59,064 and 126,324

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Solution

The third proportional to 59,064 and 126,324 is: 270,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,064 : 126,324 = 126,324 : x
  2. Step 2: Convert to fraction form
    59,064/126,324 = 126,324/x
  3. Step 3: Cross multiply
    59,064x = 126,324 × 126,324
  4. Step 4: Simplify right side
    59,064x = 15,957,752,976
  5. Step 5: Solve for x
    x = 15,957,752,976/59,064
  6. Step 6: Final answer
    x = 270,177.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.