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Finding the Third Proportional to 55,314 and 83,367

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Solution

The third proportional to 55,314 and 83,367 is: 125,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,314 : 83,367 = 83,367 : x
  2. Step 2: Convert to fraction form
    55,314/83,367 = 83,367/x
  3. Step 3: Cross multiply
    55,314x = 83,367 × 83,367
  4. Step 4: Simplify right side
    55,314x = 6,950,056,689
  5. Step 5: Solve for x
    x = 6,950,056,689/55,314
  6. Step 6: Final answer
    x = 125,647.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.