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Finding the Third Proportional to 57,787.50 and 124,197

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Solution

The third proportional to 57,787.50 and 124,197 is: 266,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.50 : 124,197 = 124,197 : x
  2. Step 2: Convert to fraction form
    57,787.50/124,197 = 124,197/x
  3. Step 3: Cross multiply
    57,787.50x = 124,197 × 124,197
  4. Step 4: Simplify right side
    57,787.50x = 15,424,894,809
  5. Step 5: Solve for x
    x = 15,424,894,809/57,787.50
  6. Step 6: Final answer
    x = 266,924.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.