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Finding the Third Proportional to 53,959 and 110,059

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Solution

The third proportional to 53,959 and 110,059 is: 224,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,959 : 110,059 = 110,059 : x
  2. Step 2: Convert to fraction form
    53,959/110,059 = 110,059/x
  3. Step 3: Cross multiply
    53,959x = 110,059 × 110,059
  4. Step 4: Simplify right side
    53,959x = 12,112,983,481
  5. Step 5: Solve for x
    x = 12,112,983,481/53,959
  6. Step 6: Final answer
    x = 224,484.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.