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Finding the Third Proportional to 125,408.25 and 196,435.13

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Solution

The third proportional to 125,408.25 and 196,435.13 is: 307,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,408.25 : 196,435.13 = 196,435.13 : x
  2. Step 2: Convert to fraction form
    125,408.25/196,435.13 = 196,435.13/x
  3. Step 3: Cross multiply
    125,408.25x = 196,435.13 × 196,435.13
  4. Step 4: Simplify right side
    125,408.25x = 38,586,758,333.77
  5. Step 5: Solve for x
    x = 38,586,758,333.77/125,408.25
  6. Step 6: Final answer
    x = 307,689.15

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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.