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Finding the Third Proportional to 109,356.75 and 171,325.13

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Solution

The third proportional to 109,356.75 and 171,325.13 is: 268,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356.75 : 171,325.13 = 171,325.13 : x
  2. Step 2: Convert to fraction form
    109,356.75/171,325.13 = 171,325.13/x
  3. Step 3: Cross multiply
    109,356.75x = 171,325.13 × 171,325.13
  4. Step 4: Simplify right side
    109,356.75x = 29,352,298,456.27
  5. Step 5: Solve for x
    x = 29,352,298,456.27/109,356.75
  6. Step 6: Final answer
    x = 268,408.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.