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Finding the Third Proportional to 74,736 and 109,229

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Solution

The third proportional to 74,736 and 109,229 is: 159,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,736 : 109,229 = 109,229 : x
  2. Step 2: Convert to fraction form
    74,736/109,229 = 109,229/x
  3. Step 3: Cross multiply
    74,736x = 109,229 × 109,229
  4. Step 4: Simplify right side
    74,736x = 11,930,974,441
  5. Step 5: Solve for x
    x = 11,930,974,441/74,736
  6. Step 6: Final answer
    x = 159,641.60

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