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Finding the Third Proportional to 63,787.50 and 135,639.56

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Solution

The third proportional to 63,787.50 and 135,639.56 is: 288,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,787.50 : 135,639.56 = 135,639.56 : x
  2. Step 2: Convert to fraction form
    63,787.50/135,639.56 = 135,639.56/x
  3. Step 3: Cross multiply
    63,787.50x = 135,639.56 × 135,639.56
  4. Step 4: Simplify right side
    63,787.50x = 18,398,090,915.19
  5. Step 5: Solve for x
    x = 18,398,090,915.19/63,787.50
  6. Step 6: Final answer
    x = 288,427.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.