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Finding the Third Proportional to 59,174.75 and 83,233

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Solution

The third proportional to 59,174.75 and 83,233 is: 117,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,174.75 : 83,233 = 83,233 : x
  2. Step 2: Convert to fraction form
    59,174.75/83,233 = 83,233/x
  3. Step 3: Cross multiply
    59,174.75x = 83,233 × 83,233
  4. Step 4: Simplify right side
    59,174.75x = 6,927,732,289
  5. Step 5: Solve for x
    x = 6,927,732,289/59,174.75
  6. Step 6: Final answer
    x = 117,072.44

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.