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Finding the Third Proportional to 68,281 and 142,012

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Solution

The third proportional to 68,281 and 142,012 is: 295,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,281 : 142,012 = 142,012 : x
  2. Step 2: Convert to fraction form
    68,281/142,012 = 142,012/x
  3. Step 3: Cross multiply
    68,281x = 142,012 × 142,012
  4. Step 4: Simplify right side
    68,281x = 20,167,408,144
  5. Step 5: Solve for x
    x = 20,167,408,144/68,281
  6. Step 6: Final answer
    x = 295,359.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.