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Finding the Third Proportional to 55,433 and 125,663

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Solution

The third proportional to 55,433 and 125,663 is: 284,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,433 : 125,663 = 125,663 : x
  2. Step 2: Convert to fraction form
    55,433/125,663 = 125,663/x
  3. Step 3: Cross multiply
    55,433x = 125,663 × 125,663
  4. Step 4: Simplify right side
    55,433x = 15,791,189,569
  5. Step 5: Solve for x
    x = 15,791,189,569/55,433
  6. Step 6: Final answer
    x = 284,869.84

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.