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Finding the Third Proportional to 45,135 and 63,099.56

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Solution

The third proportional to 45,135 and 63,099.56 is: 88,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,135 : 63,099.56 = 63,099.56 : x
  2. Step 2: Convert to fraction form
    45,135/63,099.56 = 63,099.56/x
  3. Step 3: Cross multiply
    45,135x = 63,099.56 × 63,099.56
  4. Step 4: Simplify right side
    45,135x = 3,981,554,787.69
  5. Step 5: Solve for x
    x = 3,981,554,787.69/45,135
  6. Step 6: Final answer
    x = 88,214.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.