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Finding the Third Proportional to 59,553 and 127,743

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Solution

The third proportional to 59,553 and 127,743 is: 274,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,553 : 127,743 = 127,743 : x
  2. Step 2: Convert to fraction form
    59,553/127,743 = 127,743/x
  3. Step 3: Cross multiply
    59,553x = 127,743 × 127,743
  4. Step 4: Simplify right side
    59,553x = 16,318,274,049
  5. Step 5: Solve for x
    x = 16,318,274,049/59,553
  6. Step 6: Final answer
    x = 274,012.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.