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Finding the Third Proportional to 87,078 and 116,725.50

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Solution

The third proportional to 87,078 and 116,725.50 is: 156,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,078 : 116,725.50 = 116,725.50 : x
  2. Step 2: Convert to fraction form
    87,078/116,725.50 = 116,725.50/x
  3. Step 3: Cross multiply
    87,078x = 116,725.50 × 116,725.50
  4. Step 4: Simplify right side
    87,078x = 13,624,842,350.25
  5. Step 5: Solve for x
    x = 13,624,842,350.25/87,078
  6. Step 6: Final answer
    x = 156,467.10

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.