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Finding the Third Proportional to 79,374 and 108,093

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Solution

The third proportional to 79,374 and 108,093 is: 147,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,374 : 108,093 = 108,093 : x
  2. Step 2: Convert to fraction form
    79,374/108,093 = 108,093/x
  3. Step 3: Cross multiply
    79,374x = 108,093 × 108,093
  4. Step 4: Simplify right side
    79,374x = 11,684,096,649
  5. Step 5: Solve for x
    x = 11,684,096,649/79,374
  6. Step 6: Final answer
    x = 147,203.07

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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.