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Finding the Third Proportional to 67,953 and 142,098

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Solution

The third proportional to 67,953 and 142,098 is: 297,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,953 : 142,098 = 142,098 : x
  2. Step 2: Convert to fraction form
    67,953/142,098 = 142,098/x
  3. Step 3: Cross multiply
    67,953x = 142,098 × 142,098
  4. Step 4: Simplify right side
    67,953x = 20,191,841,604
  5. Step 5: Solve for x
    x = 20,191,841,604/67,953
  6. Step 6: Final answer
    x = 297,144.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.