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Finding the Third Proportional to 109,896.38 and 171,265

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Solution

The third proportional to 109,896.38 and 171,265 is: 266,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.38 : 171,265 = 171,265 : x
  2. Step 2: Convert to fraction form
    109,896.38/171,265 = 171,265/x
  3. Step 3: Cross multiply
    109,896.38x = 171,265 × 171,265
  4. Step 4: Simplify right side
    109,896.38x = 29,331,700,225
  5. Step 5: Solve for x
    x = 29,331,700,225/109,896.38
  6. Step 6: Final answer
    x = 266,903.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.