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Finding the Third Proportional to 82,825.88 and 112,299.75

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Solution

The third proportional to 82,825.88 and 112,299.75 is: 152,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,825.88 : 112,299.75 = 112,299.75 : x
  2. Step 2: Convert to fraction form
    82,825.88/112,299.75 = 112,299.75/x
  3. Step 3: Cross multiply
    82,825.88x = 112,299.75 × 112,299.75
  4. Step 4: Simplify right side
    82,825.88x = 12,611,233,850.06
  5. Step 5: Solve for x
    x = 12,611,233,850.06/82,825.88
  6. Step 6: Final answer
    x = 152,262.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.