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Finding the Third Proportional to 75,380 and 110,977

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Solution

The third proportional to 75,380 and 110,977 is: 163,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,380 : 110,977 = 110,977 : x
  2. Step 2: Convert to fraction form
    75,380/110,977 = 110,977/x
  3. Step 3: Cross multiply
    75,380x = 110,977 × 110,977
  4. Step 4: Simplify right side
    75,380x = 12,315,894,529
  5. Step 5: Solve for x
    x = 12,315,894,529/75,380
  6. Step 6: Final answer
    x = 163,384.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.