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Finding the Third Proportional to 68,962 and 103,443

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Solution

The third proportional to 68,962 and 103,443 is: 155,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,962 : 103,443 = 103,443 : x
  2. Step 2: Convert to fraction form
    68,962/103,443 = 103,443/x
  3. Step 3: Cross multiply
    68,962x = 103,443 × 103,443
  4. Step 4: Simplify right side
    68,962x = 10,700,454,249
  5. Step 5: Solve for x
    x = 10,700,454,249/68,962
  6. Step 6: Final answer
    x = 155,164.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.