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Finding the Third Proportional to 85,952.63 and 131,399.44

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Solution

The third proportional to 85,952.63 and 131,399.44 is: 200,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,952.63 : 131,399.44 = 131,399.44 : x
  2. Step 2: Convert to fraction form
    85,952.63/131,399.44 = 131,399.44/x
  3. Step 3: Cross multiply
    85,952.63x = 131,399.44 × 131,399.44
  4. Step 4: Simplify right side
    85,952.63x = 17,265,812,175.32
  5. Step 5: Solve for x
    x = 17,265,812,175.32/85,952.63
  6. Step 6: Final answer
    x = 200,875.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.