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Finding the Third Proportional to 68,652 and 141,543

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Solution

The third proportional to 68,652 and 141,543 is: 291,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,652 : 141,543 = 141,543 : x
  2. Step 2: Convert to fraction form
    68,652/141,543 = 141,543/x
  3. Step 3: Cross multiply
    68,652x = 141,543 × 141,543
  4. Step 4: Simplify right side
    68,652x = 20,034,420,849
  5. Step 5: Solve for x
    x = 20,034,420,849/68,652
  6. Step 6: Final answer
    x = 291,825.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.