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Finding the Third Proportional to 55,886 and 119,760

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Solution

The third proportional to 55,886 and 119,760 is: 256,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,886 : 119,760 = 119,760 : x
  2. Step 2: Convert to fraction form
    55,886/119,760 = 119,760/x
  3. Step 3: Cross multiply
    55,886x = 119,760 × 119,760
  4. Step 4: Simplify right side
    55,886x = 14,342,457,600
  5. Step 5: Solve for x
    x = 14,342,457,600/55,886
  6. Step 6: Final answer
    x = 256,637.76

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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.