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Finding the Third Proportional to 55,284 and 82,983

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Solution

The third proportional to 55,284 and 82,983 is: 124,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,284 : 82,983 = 82,983 : x
  2. Step 2: Convert to fraction form
    55,284/82,983 = 82,983/x
  3. Step 3: Cross multiply
    55,284x = 82,983 × 82,983
  4. Step 4: Simplify right side
    55,284x = 6,886,178,289
  5. Step 5: Solve for x
    x = 6,886,178,289/55,284
  6. Step 6: Final answer
    x = 124,560.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.