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Finding the Third Proportional to 51,060 and 110,324

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Solution

The third proportional to 51,060 and 110,324 is: 238,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,060 : 110,324 = 110,324 : x
  2. Step 2: Convert to fraction form
    51,060/110,324 = 110,324/x
  3. Step 3: Cross multiply
    51,060x = 110,324 × 110,324
  4. Step 4: Simplify right side
    51,060x = 12,171,384,976
  5. Step 5: Solve for x
    x = 12,171,384,976/51,060
  6. Step 6: Final answer
    x = 238,374.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.