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Finding the Third Proportional to 53,942 and 110,026

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Solution

The third proportional to 53,942 and 110,026 is: 224,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,942 : 110,026 = 110,026 : x
  2. Step 2: Convert to fraction form
    53,942/110,026 = 110,026/x
  3. Step 3: Cross multiply
    53,942x = 110,026 × 110,026
  4. Step 4: Simplify right side
    53,942x = 12,105,720,676
  5. Step 5: Solve for x
    x = 12,105,720,676/53,942
  6. Step 6: Final answer
    x = 224,421.06

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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.