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Finding the Third Proportional to 59,001 and 127,392

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Solution

The third proportional to 59,001 and 127,392 is: 275,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,001 : 127,392 = 127,392 : x
  2. Step 2: Convert to fraction form
    59,001/127,392 = 127,392/x
  3. Step 3: Cross multiply
    59,001x = 127,392 × 127,392
  4. Step 4: Simplify right side
    59,001x = 16,228,721,664
  5. Step 5: Solve for x
    x = 16,228,721,664/59,001
  6. Step 6: Final answer
    x = 275,058.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.