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Finding the Third Proportional to 49,288 and 75,152

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Solution

The third proportional to 49,288 and 75,152 is: 114,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,288 : 75,152 = 75,152 : x
  2. Step 2: Convert to fraction form
    49,288/75,152 = 75,152/x
  3. Step 3: Cross multiply
    49,288x = 75,152 × 75,152
  4. Step 4: Simplify right side
    49,288x = 5,647,823,104
  5. Step 5: Solve for x
    x = 5,647,823,104/49,288
  6. Step 6: Final answer
    x = 114,588.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.