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Finding the Third Proportional to 68,977 and 128,108

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Solution

The third proportional to 68,977 and 128,108 is: 237,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,977 : 128,108 = 128,108 : x
  2. Step 2: Convert to fraction form
    68,977/128,108 = 128,108/x
  3. Step 3: Cross multiply
    68,977x = 128,108 × 128,108
  4. Step 4: Simplify right side
    68,977x = 16,411,659,664
  5. Step 5: Solve for x
    x = 16,411,659,664/68,977
  6. Step 6: Final answer
    x = 237,929.45

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.