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Finding the Third Proportional to 48,668 and 75,152

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Solution

The third proportional to 48,668 and 75,152 is: 116,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,668 : 75,152 = 75,152 : x
  2. Step 2: Convert to fraction form
    48,668/75,152 = 75,152/x
  3. Step 3: Cross multiply
    48,668x = 75,152 × 75,152
  4. Step 4: Simplify right side
    48,668x = 5,647,823,104
  5. Step 5: Solve for x
    x = 5,647,823,104/48,668
  6. Step 6: Final answer
    x = 116,047.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.