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Finding the Third Proportional to 74,744 and 109,240

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Solution

The third proportional to 74,744 and 109,240 is: 159,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,744 : 109,240 = 109,240 : x
  2. Step 2: Convert to fraction form
    74,744/109,240 = 109,240/x
  3. Step 3: Cross multiply
    74,744x = 109,240 × 109,240
  4. Step 4: Simplify right side
    74,744x = 11,933,377,600
  5. Step 5: Solve for x
    x = 11,933,377,600/74,744
  6. Step 6: Final answer
    x = 159,656.66

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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.