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Finding the Third Proportional to 53,960 and 110,060

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Solution

The third proportional to 53,960 and 110,060 is: 224,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,960 : 110,060 = 110,060 : x
  2. Step 2: Convert to fraction form
    53,960/110,060 = 110,060/x
  3. Step 3: Cross multiply
    53,960x = 110,060 × 110,060
  4. Step 4: Simplify right side
    53,960x = 12,113,203,600
  5. Step 5: Solve for x
    x = 12,113,203,600/53,960
  6. Step 6: Final answer
    x = 224,484.87

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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.