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Finding the Third Proportional to 126,310 and 270,126

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Solution

The third proportional to 126,310 and 270,126 is: 577,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,310 : 270,126 = 270,126 : x
  2. Step 2: Convert to fraction form
    126,310/270,126 = 270,126/x
  3. Step 3: Cross multiply
    126,310x = 270,126 × 270,126
  4. Step 4: Simplify right side
    126,310x = 72,968,055,876
  5. Step 5: Solve for x
    x = 72,968,055,876/126,310
  6. Step 6: Final answer
    x = 577,690.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.