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Finding the Third Proportional to 65,912 and 142,192

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Solution

The third proportional to 65,912 and 142,192 is: 306,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,912 : 142,192 = 142,192 : x
  2. Step 2: Convert to fraction form
    65,912/142,192 = 142,192/x
  3. Step 3: Cross multiply
    65,912x = 142,192 × 142,192
  4. Step 4: Simplify right side
    65,912x = 20,218,564,864
  5. Step 5: Solve for x
    x = 20,218,564,864/65,912
  6. Step 6: Final answer
    x = 306,750.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.