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Finding the Third Proportional to 68,331 and 144,090

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Solution

The third proportional to 68,331 and 144,090 is: 303,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,331 : 144,090 = 144,090 : x
  2. Step 2: Convert to fraction form
    68,331/144,090 = 144,090/x
  3. Step 3: Cross multiply
    68,331x = 144,090 × 144,090
  4. Step 4: Simplify right side
    68,331x = 20,761,928,100
  5. Step 5: Solve for x
    x = 20,761,928,100/68,331
  6. Step 6: Final answer
    x = 303,843.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.