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Finding the Third Proportional to 54,371 and 110,270

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Solution

The third proportional to 54,371 and 110,270 is: 223,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,371 : 110,270 = 110,270 : x
  2. Step 2: Convert to fraction form
    54,371/110,270 = 110,270/x
  3. Step 3: Cross multiply
    54,371x = 110,270 × 110,270
  4. Step 4: Simplify right side
    54,371x = 12,159,472,900
  5. Step 5: Solve for x
    x = 12,159,472,900/54,371
  6. Step 6: Final answer
    x = 223,638.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.