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Finding the Third Proportional to 45,502 and 68,889

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Solution

The third proportional to 45,502 and 68,889 is: 104,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,502 : 68,889 = 68,889 : x
  2. Step 2: Convert to fraction form
    45,502/68,889 = 68,889/x
  3. Step 3: Cross multiply
    45,502x = 68,889 × 68,889
  4. Step 4: Simplify right side
    45,502x = 4,745,694,321
  5. Step 5: Solve for x
    x = 4,745,694,321/45,502
  6. Step 6: Final answer
    x = 104,296.39

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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.