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Finding the Third Proportional to 127,012 and 278,932

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Solution

The third proportional to 127,012 and 278,932 is: 612,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,012 : 278,932 = 278,932 : x
  2. Step 2: Convert to fraction form
    127,012/278,932 = 278,932/x
  3. Step 3: Cross multiply
    127,012x = 278,932 × 278,932
  4. Step 4: Simplify right side
    127,012x = 77,803,060,624
  5. Step 5: Solve for x
    x = 77,803,060,624/127,012
  6. Step 6: Final answer
    x = 612,564.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.