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Finding the Third Proportional to 55,857 and 119,710

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Solution

The third proportional to 55,857 and 119,710 is: 256,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,857 : 119,710 = 119,710 : x
  2. Step 2: Convert to fraction form
    55,857/119,710 = 119,710/x
  3. Step 3: Cross multiply
    55,857x = 119,710 × 119,710
  4. Step 4: Simplify right side
    55,857x = 14,330,484,100
  5. Step 5: Solve for x
    x = 14,330,484,100/55,857
  6. Step 6: Final answer
    x = 256,556.64

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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.