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Finding the Third Proportional to 84,530.25 and 131,635.13

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Solution

The third proportional to 84,530.25 and 131,635.13 is: 204,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,530.25 : 131,635.13 = 131,635.13 : x
  2. Step 2: Convert to fraction form
    84,530.25/131,635.13 = 131,635.13/x
  3. Step 3: Cross multiply
    84,530.25x = 131,635.13 × 131,635.13
  4. Step 4: Simplify right side
    84,530.25x = 17,327,806,133.77
  5. Step 5: Solve for x
    x = 17,327,806,133.77/84,530.25
  6. Step 6: Final answer
    x = 204,989.41

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