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Finding the Third Proportional to 55,418 and 85,983

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Solution

The third proportional to 55,418 and 85,983 is: 133,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,418 : 85,983 = 85,983 : x
  2. Step 2: Convert to fraction form
    55,418/85,983 = 85,983/x
  3. Step 3: Cross multiply
    55,418x = 85,983 × 85,983
  4. Step 4: Simplify right side
    55,418x = 7,393,076,289
  5. Step 5: Solve for x
    x = 7,393,076,289/55,418
  6. Step 6: Final answer
    x = 133,405.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.