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Finding the Third Proportional to 57,063 and 127,239

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Solution

The third proportional to 57,063 and 127,239 is: 283,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,063 : 127,239 = 127,239 : x
  2. Step 2: Convert to fraction form
    57,063/127,239 = 127,239/x
  3. Step 3: Cross multiply
    57,063x = 127,239 × 127,239
  4. Step 4: Simplify right side
    57,063x = 16,189,763,121
  5. Step 5: Solve for x
    x = 16,189,763,121/57,063
  6. Step 6: Final answer
    x = 283,717.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.