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Finding the Third Proportional to 68,934 and 142,988

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Solution

The third proportional to 68,934 and 142,988 is: 296,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,934 : 142,988 = 142,988 : x
  2. Step 2: Convert to fraction form
    68,934/142,988 = 142,988/x
  3. Step 3: Cross multiply
    68,934x = 142,988 × 142,988
  4. Step 4: Simplify right side
    68,934x = 20,445,568,144
  5. Step 5: Solve for x
    x = 20,445,568,144/68,934
  6. Step 6: Final answer
    x = 296,596.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.