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Finding the Third Proportional to 67,814 and 98,642

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Solution

The third proportional to 67,814 and 98,642 is: 143,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,814 : 98,642 = 98,642 : x
  2. Step 2: Convert to fraction form
    67,814/98,642 = 98,642/x
  3. Step 3: Cross multiply
    67,814x = 98,642 × 98,642
  4. Step 4: Simplify right side
    67,814x = 9,730,244,164
  5. Step 5: Solve for x
    x = 9,730,244,164/67,814
  6. Step 6: Final answer
    x = 143,484.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.