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Finding the Third Proportional to 45,699 and 68,747

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Solution

The third proportional to 45,699 and 68,747 is: 103,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,699 : 68,747 = 68,747 : x
  2. Step 2: Convert to fraction form
    45,699/68,747 = 68,747/x
  3. Step 3: Cross multiply
    45,699x = 68,747 × 68,747
  4. Step 4: Simplify right side
    45,699x = 4,726,150,009
  5. Step 5: Solve for x
    x = 4,726,150,009/45,699
  6. Step 6: Final answer
    x = 103,419.11

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