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Finding the Third Proportional to 126,062 and 186,603

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Solution

The third proportional to 126,062 and 186,603 is: 276,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,062 : 186,603 = 186,603 : x
  2. Step 2: Convert to fraction form
    126,062/186,603 = 186,603/x
  3. Step 3: Cross multiply
    126,062x = 186,603 × 186,603
  4. Step 4: Simplify right side
    126,062x = 34,820,679,609
  5. Step 5: Solve for x
    x = 34,820,679,609/126,062
  6. Step 6: Final answer
    x = 276,218.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.