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Finding the Third Proportional to 55,862 and 108,919

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Solution

The third proportional to 55,862 and 108,919 is: 212,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,862 : 108,919 = 108,919 : x
  2. Step 2: Convert to fraction form
    55,862/108,919 = 108,919/x
  3. Step 3: Cross multiply
    55,862x = 108,919 × 108,919
  4. Step 4: Simplify right side
    55,862x = 11,863,348,561
  5. Step 5: Solve for x
    x = 11,863,348,561/55,862
  6. Step 6: Final answer
    x = 212,368.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.