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Finding the Third Proportional to 51,821 and 108,862

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Solution

The third proportional to 51,821 and 108,862 is: 228,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,821 : 108,862 = 108,862 : x
  2. Step 2: Convert to fraction form
    51,821/108,862 = 108,862/x
  3. Step 3: Cross multiply
    51,821x = 108,862 × 108,862
  4. Step 4: Simplify right side
    51,821x = 11,850,935,044
  5. Step 5: Solve for x
    x = 11,850,935,044/51,821
  6. Step 6: Final answer
    x = 228,689.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.