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Finding the Third Proportional to 55,817 and 117,862

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Solution

The third proportional to 55,817 and 117,862 is: 248,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,817 : 117,862 = 117,862 : x
  2. Step 2: Convert to fraction form
    55,817/117,862 = 117,862/x
  3. Step 3: Cross multiply
    55,817x = 117,862 × 117,862
  4. Step 4: Simplify right side
    55,817x = 13,891,451,044
  5. Step 5: Solve for x
    x = 13,891,451,044/55,817
  6. Step 6: Final answer
    x = 248,874.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.