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Finding the Third Proportional to 45,717 and 69,063

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Solution

The third proportional to 45,717 and 69,063 is: 104,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,717 : 69,063 = 69,063 : x
  2. Step 2: Convert to fraction form
    45,717/69,063 = 69,063/x
  3. Step 3: Cross multiply
    45,717x = 69,063 × 69,063
  4. Step 4: Simplify right side
    45,717x = 4,769,697,969
  5. Step 5: Solve for x
    x = 4,769,697,969/45,717
  6. Step 6: Final answer
    x = 104,330.95

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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.