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Finding the Third Proportional to 110,782.13 and 171,863.44

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Solution

The third proportional to 110,782.13 and 171,863.44 is: 266,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,782.13 : 171,863.44 = 171,863.44 : x
  2. Step 2: Convert to fraction form
    110,782.13/171,863.44 = 171,863.44/x
  3. Step 3: Cross multiply
    110,782.13x = 171,863.44 × 171,863.44
  4. Step 4: Simplify right side
    110,782.13x = 29,537,041,149.32
  5. Step 5: Solve for x
    x = 29,537,041,149.32/110,782.13
  6. Step 6: Final answer
    x = 266,622.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.