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Finding the Third Proportional to 74,868 and 109,374

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Solution

The third proportional to 74,868 and 109,374 is: 159,783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,868 : 109,374 = 109,374 : x
  2. Step 2: Convert to fraction form
    74,868/109,374 = 109,374/x
  3. Step 3: Cross multiply
    74,868x = 109,374 × 109,374
  4. Step 4: Simplify right side
    74,868x = 11,962,671,876
  5. Step 5: Solve for x
    x = 11,962,671,876/74,868
  6. Step 6: Final answer
    x = 159,783.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.