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Finding the Third Proportional to 87,104 and 130,318

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Solution

The third proportional to 87,104 and 130,318 is: 194,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,104 : 130,318 = 130,318 : x
  2. Step 2: Convert to fraction form
    87,104/130,318 = 130,318/x
  3. Step 3: Cross multiply
    87,104x = 130,318 × 130,318
  4. Step 4: Simplify right side
    87,104x = 16,982,781,124
  5. Step 5: Solve for x
    x = 16,982,781,124/87,104
  6. Step 6: Final answer
    x = 194,971.31

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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.