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Finding the Third Proportional to 75,728 and 117,244

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Solution

The third proportional to 75,728 and 117,244 is: 181,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,728 : 117,244 = 117,244 : x
  2. Step 2: Convert to fraction form
    75,728/117,244 = 117,244/x
  3. Step 3: Cross multiply
    75,728x = 117,244 × 117,244
  4. Step 4: Simplify right side
    75,728x = 13,746,155,536
  5. Step 5: Solve for x
    x = 13,746,155,536/75,728
  6. Step 6: Final answer
    x = 181,520.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.