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Finding the Third Proportional to 127,106 and 273,914

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Solution

The third proportional to 127,106 and 273,914 is: 590,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,106 : 273,914 = 273,914 : x
  2. Step 2: Convert to fraction form
    127,106/273,914 = 273,914/x
  3. Step 3: Cross multiply
    127,106x = 273,914 × 273,914
  4. Step 4: Simplify right side
    127,106x = 75,028,879,396
  5. Step 5: Solve for x
    x = 75,028,879,396/127,106
  6. Step 6: Final answer
    x = 590,285.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.