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Finding the Third Proportional to 55,018 and 85,814

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Solution

The third proportional to 55,018 and 85,814 is: 133,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,018 : 85,814 = 85,814 : x
  2. Step 2: Convert to fraction form
    55,018/85,814 = 85,814/x
  3. Step 3: Cross multiply
    55,018x = 85,814 × 85,814
  4. Step 4: Simplify right side
    55,018x = 7,364,042,596
  5. Step 5: Solve for x
    x = 7,364,042,596/55,018
  6. Step 6: Final answer
    x = 133,847.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.