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Finding the Third Proportional to 126,189 and 264,060

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Solution

The third proportional to 126,189 and 264,060 is: 552,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,189 : 264,060 = 264,060 : x
  2. Step 2: Convert to fraction form
    126,189/264,060 = 264,060/x
  3. Step 3: Cross multiply
    126,189x = 264,060 × 264,060
  4. Step 4: Simplify right side
    126,189x = 69,727,683,600
  5. Step 5: Solve for x
    x = 69,727,683,600/126,189
  6. Step 6: Final answer
    x = 552,565.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.