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Finding the Third Proportional to 127,710 and 273,756.75

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Solution

The third proportional to 127,710 and 273,756.75 is: 586,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,710 : 273,756.75 = 273,756.75 : x
  2. Step 2: Convert to fraction form
    127,710/273,756.75 = 273,756.75/x
  3. Step 3: Cross multiply
    127,710x = 273,756.75 × 273,756.75
  4. Step 4: Simplify right side
    127,710x = 74,942,758,170.56
  5. Step 5: Solve for x
    x = 74,942,758,170.56/127,710
  6. Step 6: Final answer
    x = 586,819.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.