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Finding the Third Proportional to 45,558 and 68,967

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Solution

The third proportional to 45,558 and 68,967 is: 104,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,558 : 68,967 = 68,967 : x
  2. Step 2: Convert to fraction form
    45,558/68,967 = 68,967/x
  3. Step 3: Cross multiply
    45,558x = 68,967 × 68,967
  4. Step 4: Simplify right side
    45,558x = 4,756,447,089
  5. Step 5: Solve for x
    x = 4,756,447,089/45,558
  6. Step 6: Final answer
    x = 104,404.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.