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Finding the Third Proportional to 45,261 and 68,644

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Solution

The third proportional to 45,261 and 68,644 is: 104,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,261 : 68,644 = 68,644 : x
  2. Step 2: Convert to fraction form
    45,261/68,644 = 68,644/x
  3. Step 3: Cross multiply
    45,261x = 68,644 × 68,644
  4. Step 4: Simplify right side
    45,261x = 4,711,998,736
  5. Step 5: Solve for x
    x = 4,711,998,736/45,261
  6. Step 6: Final answer
    x = 104,107.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.