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Finding the Third Proportional to 57,240.75 and 119,706

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Solution

The third proportional to 57,240.75 and 119,706 is: 250,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240.75 : 119,706 = 119,706 : x
  2. Step 2: Convert to fraction form
    57,240.75/119,706 = 119,706/x
  3. Step 3: Cross multiply
    57,240.75x = 119,706 × 119,706
  4. Step 4: Simplify right side
    57,240.75x = 14,329,526,436
  5. Step 5: Solve for x
    x = 14,329,526,436/57,240.75
  6. Step 6: Final answer
    x = 250,337.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.