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Finding the Third Proportional to 127,086 and 276,304.50

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Solution

The third proportional to 127,086 and 276,304.50 is: 600,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,086 : 276,304.50 = 276,304.50 : x
  2. Step 2: Convert to fraction form
    127,086/276,304.50 = 276,304.50/x
  3. Step 3: Cross multiply
    127,086x = 276,304.50 × 276,304.50
  4. Step 4: Simplify right side
    127,086x = 76,344,176,720.25
  5. Step 5: Solve for x
    x = 76,344,176,720.25/127,086
  6. Step 6: Final answer
    x = 600,728.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.