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Finding the Third Proportional to 51,752 and 112,982

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Solution

The third proportional to 51,752 and 112,982 is: 246,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752 : 112,982 = 112,982 : x
  2. Step 2: Convert to fraction form
    51,752/112,982 = 112,982/x
  3. Step 3: Cross multiply
    51,752x = 112,982 × 112,982
  4. Step 4: Simplify right side
    51,752x = 12,764,932,324
  5. Step 5: Solve for x
    x = 12,764,932,324/51,752
  6. Step 6: Final answer
    x = 246,655.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.