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Finding the Third Proportional to 127,868.63 and 200,145.94

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Solution

The third proportional to 127,868.63 and 200,145.94 is: 313,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,868.63 : 200,145.94 = 200,145.94 : x
  2. Step 2: Convert to fraction form
    127,868.63/200,145.94 = 200,145.94/x
  3. Step 3: Cross multiply
    127,868.63x = 200,145.94 × 200,145.94
  4. Step 4: Simplify right side
    127,868.63x = 40,058,396,297.75
  5. Step 5: Solve for x
    x = 40,058,396,297.75/127,868.63
  6. Step 6: Final answer
    x = 313,277.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.