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Finding the Third Proportional to 55,463 and 85,254

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Solution

The third proportional to 55,463 and 85,254 is: 131,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,463 : 85,254 = 85,254 : x
  2. Step 2: Convert to fraction form
    55,463/85,254 = 85,254/x
  3. Step 3: Cross multiply
    55,463x = 85,254 × 85,254
  4. Step 4: Simplify right side
    55,463x = 7,268,244,516
  5. Step 5: Solve for x
    x = 7,268,244,516/55,463
  6. Step 6: Final answer
    x = 131,046.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.