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Finding the Third Proportional to 128,387 and 187,826

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Solution

The third proportional to 128,387 and 187,826 is: 274,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,387 : 187,826 = 187,826 : x
  2. Step 2: Convert to fraction form
    128,387/187,826 = 187,826/x
  3. Step 3: Cross multiply
    128,387x = 187,826 × 187,826
  4. Step 4: Simplify right side
    128,387x = 35,278,606,276
  5. Step 5: Solve for x
    x = 35,278,606,276/128,387
  6. Step 6: Final answer
    x = 274,783.32

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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.