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Finding the Third Proportional to 45,123.05 and 69,363.56

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Solution

The third proportional to 45,123.05 and 69,363.56 is: 106,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,123.05 : 69,363.56 = 69,363.56 : x
  2. Step 2: Convert to fraction form
    45,123.05/69,363.56 = 69,363.56/x
  3. Step 3: Cross multiply
    45,123.05x = 69,363.56 × 69,363.56
  4. Step 4: Simplify right side
    45,123.05x = 4,811,303,802.69
  5. Step 5: Solve for x
    x = 4,811,303,802.69/45,123.05
  6. Step 6: Final answer
    x = 106,626.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.