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Finding the Third Proportional to 90,139.50 and 208,665

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Solution

The third proportional to 90,139.50 and 208,665 is: 483,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,139.50 : 208,665 = 208,665 : x
  2. Step 2: Convert to fraction form
    90,139.50/208,665 = 208,665/x
  3. Step 3: Cross multiply
    90,139.50x = 208,665 × 208,665
  4. Step 4: Simplify right side
    90,139.50x = 43,541,082,225
  5. Step 5: Solve for x
    x = 43,541,082,225/90,139.50
  6. Step 6: Final answer
    x = 483,041.09

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.