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Finding the Third Proportional to 112,489 and 237,627

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Solution

The third proportional to 112,489 and 237,627 is: 501,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,489 : 237,627 = 237,627 : x
  2. Step 2: Convert to fraction form
    112,489/237,627 = 237,627/x
  3. Step 3: Cross multiply
    112,489x = 237,627 × 237,627
  4. Step 4: Simplify right side
    112,489x = 56,466,591,129
  5. Step 5: Solve for x
    x = 56,466,591,129/112,489
  6. Step 6: Final answer
    x = 501,974.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.