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Finding the Third Proportional to 128,387.50 and 187,827

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Solution

The third proportional to 128,387.50 and 187,827 is: 274,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,387.50 : 187,827 = 187,827 : x
  2. Step 2: Convert to fraction form
    128,387.50/187,827 = 187,827/x
  3. Step 3: Cross multiply
    128,387.50x = 187,827 × 187,827
  4. Step 4: Simplify right side
    128,387.50x = 35,278,981,929
  5. Step 5: Solve for x
    x = 35,278,981,929/128,387.50
  6. Step 6: Final answer
    x = 274,785.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.