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Finding the Third Proportional to 125,896.13 and 271,899.38

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Solution

The third proportional to 125,896.13 and 271,899.38 is: 587,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,896.13 : 271,899.38 = 271,899.38 : x
  2. Step 2: Convert to fraction form
    125,896.13/271,899.38 = 271,899.38/x
  3. Step 3: Cross multiply
    125,896.13x = 271,899.38 × 271,899.38
  4. Step 4: Simplify right side
    125,896.13x = 73,929,270,125.39
  5. Step 5: Solve for x
    x = 73,929,270,125.39/125,896.13
  6. Step 6: Final answer
    x = 587,224.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.