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Finding the Third Proportional to 87,147 and 134,014.50

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Solution

The third proportional to 87,147 and 134,014.50 is: 206,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,147 : 134,014.50 = 134,014.50 : x
  2. Step 2: Convert to fraction form
    87,147/134,014.50 = 134,014.50/x
  3. Step 3: Cross multiply
    87,147x = 134,014.50 × 134,014.50
  4. Step 4: Simplify right side
    87,147x = 17,959,886,210.25
  5. Step 5: Solve for x
    x = 17,959,886,210.25/87,147
  6. Step 6: Final answer
    x = 206,087.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.