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Finding the Third Proportional to 82,237 and 123,022

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Solution

The third proportional to 82,237 and 123,022 is: 184,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,237 : 123,022 = 123,022 : x
  2. Step 2: Convert to fraction form
    82,237/123,022 = 123,022/x
  3. Step 3: Cross multiply
    82,237x = 123,022 × 123,022
  4. Step 4: Simplify right side
    82,237x = 15,134,412,484
  5. Step 5: Solve for x
    x = 15,134,412,484/82,237
  6. Step 6: Final answer
    x = 184,034.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.