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Finding the Third Proportional to 59,012 and 127,447

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Solution

The third proportional to 59,012 and 127,447 is: 275,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,012 : 127,447 = 127,447 : x
  2. Step 2: Convert to fraction form
    59,012/127,447 = 127,447/x
  3. Step 3: Cross multiply
    59,012x = 127,447 × 127,447
  4. Step 4: Simplify right side
    59,012x = 16,242,737,809
  5. Step 5: Solve for x
    x = 16,242,737,809/59,012
  6. Step 6: Final answer
    x = 275,244.66

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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.