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Finding the Third Proportional to 79,380 and 107,807

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Solution

The third proportional to 79,380 and 107,807 is: 146,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,380 : 107,807 = 107,807 : x
  2. Step 2: Convert to fraction form
    79,380/107,807 = 107,807/x
  3. Step 3: Cross multiply
    79,380x = 107,807 × 107,807
  4. Step 4: Simplify right side
    79,380x = 11,622,349,249
  5. Step 5: Solve for x
    x = 11,622,349,249/79,380
  6. Step 6: Final answer
    x = 146,414.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.