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Finding the Third Proportional to 82,280.81 and 122,882.06

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Solution

The third proportional to 82,280.81 and 122,882.06 is: 183,517.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,280.81 : 122,882.06 = 122,882.06 : x
  2. Step 2: Convert to fraction form
    82,280.81/122,882.06 = 122,882.06/x
  3. Step 3: Cross multiply
    82,280.81x = 122,882.06 × 122,882.06
  4. Step 4: Simplify right side
    82,280.81x = 15,100,001,284.25
  5. Step 5: Solve for x
    x = 15,100,001,284.25/82,280.81
  6. Step 6: Final answer
    x = 183,517.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.