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Finding the Third Proportional to 109,451.50 and 162,717

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Solution

The third proportional to 109,451.50 and 162,717 is: 241,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,451.50 : 162,717 = 162,717 : x
  2. Step 2: Convert to fraction form
    109,451.50/162,717 = 162,717/x
  3. Step 3: Cross multiply
    109,451.50x = 162,717 × 162,717
  4. Step 4: Simplify right side
    109,451.50x = 26,476,822,089
  5. Step 5: Solve for x
    x = 26,476,822,089/109,451.50
  6. Step 6: Final answer
    x = 241,904.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.