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Finding the Third Proportional to 126,040 and 189,060

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Solution

The third proportional to 126,040 and 189,060 is: 283,590

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,040 : 189,060 = 189,060 : x
  2. Step 2: Convert to fraction form
    126,040/189,060 = 189,060/x
  3. Step 3: Cross multiply
    126,040x = 189,060 × 189,060
  4. Step 4: Simplify right side
    126,040x = 35,743,683,600
  5. Step 5: Solve for x
    x = 35,743,683,600/126,040
  6. Step 6: Final answer
    x = 283,590

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.