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Finding the Third Proportional to 109,369.50 and 171,345

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Solution

The third proportional to 109,369.50 and 171,345 is: 268,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,369.50 : 171,345 = 171,345 : x
  2. Step 2: Convert to fraction form
    109,369.50/171,345 = 171,345/x
  3. Step 3: Cross multiply
    109,369.50x = 171,345 × 171,345
  4. Step 4: Simplify right side
    109,369.50x = 29,359,109,025
  5. Step 5: Solve for x
    x = 29,359,109,025/109,369.50
  6. Step 6: Final answer
    x = 268,439.64

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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.