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Finding the Third Proportional to 126,918.14 and 276,606.14

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Solution

The third proportional to 126,918.14 and 276,606.14 is: 602,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,918.14 : 276,606.14 = 276,606.14 : x
  2. Step 2: Convert to fraction form
    126,918.14/276,606.14 = 276,606.14/x
  3. Step 3: Cross multiply
    126,918.14x = 276,606.14 × 276,606.14
  4. Step 4: Simplify right side
    126,918.14x = 76,510,957,031.46
  5. Step 5: Solve for x
    x = 76,510,957,031.46/126,918.14
  6. Step 6: Final answer
    x = 602,837.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.