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Finding the Third Proportional to 87,417 and 133,669.50

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Solution

The third proportional to 87,417 and 133,669.50 is: 204,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,417 : 133,669.50 = 133,669.50 : x
  2. Step 2: Convert to fraction form
    87,417/133,669.50 = 133,669.50/x
  3. Step 3: Cross multiply
    87,417x = 133,669.50 × 133,669.50
  4. Step 4: Simplify right side
    87,417x = 17,867,535,230.25
  5. Step 5: Solve for x
    x = 17,867,535,230.25/87,417
  6. Step 6: Final answer
    x = 204,394.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.