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Finding the Third Proportional to 87,311.25 and 186,070.50

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Solution

The third proportional to 87,311.25 and 186,070.50 is: 396,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,311.25 : 186,070.50 = 186,070.50 : x
  2. Step 2: Convert to fraction form
    87,311.25/186,070.50 = 186,070.50/x
  3. Step 3: Cross multiply
    87,311.25x = 186,070.50 × 186,070.50
  4. Step 4: Simplify right side
    87,311.25x = 34,622,230,970.25
  5. Step 5: Solve for x
    x = 34,622,230,970.25/87,311.25
  6. Step 6: Final answer
    x = 396,538.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.