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Finding the Third Proportional to 87,435.75 and 128,282.25

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Solution

The third proportional to 87,435.75 and 128,282.25 is: 188,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,435.75 : 128,282.25 = 128,282.25 : x
  2. Step 2: Convert to fraction form
    87,435.75/128,282.25 = 128,282.25/x
  3. Step 3: Cross multiply
    87,435.75x = 128,282.25 × 128,282.25
  4. Step 4: Simplify right side
    87,435.75x = 16,456,335,665.06
  5. Step 5: Solve for x
    x = 16,456,335,665.06/87,435.75
  6. Step 6: Final answer
    x = 188,210.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.