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Finding the Third Proportional to 127,065.38 and 276,267.38

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Solution

The third proportional to 127,065.38 and 276,267.38 is: 600,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,065.38 : 276,267.38 = 276,267.38 : x
  2. Step 2: Convert to fraction form
    127,065.38/276,267.38 = 276,267.38/x
  3. Step 3: Cross multiply
    127,065.38x = 276,267.38 × 276,267.38
  4. Step 4: Simplify right side
    127,065.38x = 76,323,662,489.39
  5. Step 5: Solve for x
    x = 76,323,662,489.39/127,065.38
  6. Step 6: Final answer
    x = 600,664.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.