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Finding the Third Proportional to 55,959 and 114,504

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Solution

The third proportional to 55,959 and 114,504 is: 234,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,959 : 114,504 = 114,504 : x
  2. Step 2: Convert to fraction form
    55,959/114,504 = 114,504/x
  3. Step 3: Cross multiply
    55,959x = 114,504 × 114,504
  4. Step 4: Simplify right side
    55,959x = 13,111,166,016
  5. Step 5: Solve for x
    x = 13,111,166,016/55,959
  6. Step 6: Final answer
    x = 234,299.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.