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Finding the Third Proportional to 56,393 and 122,503

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Solution

The third proportional to 56,393 and 122,503 is: 266,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,393 : 122,503 = 122,503 : x
  2. Step 2: Convert to fraction form
    56,393/122,503 = 122,503/x
  3. Step 3: Cross multiply
    56,393x = 122,503 × 122,503
  4. Step 4: Simplify right side
    56,393x = 15,006,985,009
  5. Step 5: Solve for x
    x = 15,006,985,009/56,393
  6. Step 6: Final answer
    x = 266,114.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.