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Finding the Third Proportional to 55,006 and 119,888

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Solution

The third proportional to 55,006 and 119,888 is: 261,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,006 : 119,888 = 119,888 : x
  2. Step 2: Convert to fraction form
    55,006/119,888 = 119,888/x
  3. Step 3: Cross multiply
    55,006x = 119,888 × 119,888
  4. Step 4: Simplify right side
    55,006x = 14,373,132,544
  5. Step 5: Solve for x
    x = 14,373,132,544/55,006
  6. Step 6: Final answer
    x = 261,301.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.