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Finding the Third Proportional to 82,568.25 and 114,888.38

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Solution

The third proportional to 82,568.25 and 114,888.38 is: 159,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,568.25 : 114,888.38 = 114,888.38 : x
  2. Step 2: Convert to fraction form
    82,568.25/114,888.38 = 114,888.38/x
  3. Step 3: Cross multiply
    82,568.25x = 114,888.38 × 114,888.38
  4. Step 4: Simplify right side
    82,568.25x = 13,199,338,710.14
  5. Step 5: Solve for x
    x = 13,199,338,710.14/82,568.25
  6. Step 6: Final answer
    x = 159,859.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.