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Finding the Third Proportional to 127,578.94 and 187,677.56

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Solution

The third proportional to 127,578.94 and 187,677.56 is: 276,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,578.94 : 187,677.56 = 187,677.56 : x
  2. Step 2: Convert to fraction form
    127,578.94/187,677.56 = 187,677.56/x
  3. Step 3: Cross multiply
    127,578.94x = 187,677.56 × 187,677.56
  4. Step 4: Simplify right side
    127,578.94x = 35,222,867,465.94
  5. Step 5: Solve for x
    x = 35,222,867,465.94/127,578.94
  6. Step 6: Final answer
    x = 276,086.85

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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.