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Finding the Third Proportional to 126,114 and 258,060

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Solution

The third proportional to 126,114 and 258,060 is: 528,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,114 : 258,060 = 258,060 : x
  2. Step 2: Convert to fraction form
    126,114/258,060 = 258,060/x
  3. Step 3: Cross multiply
    126,114x = 258,060 × 258,060
  4. Step 4: Simplify right side
    126,114x = 66,594,963,600
  5. Step 5: Solve for x
    x = 66,594,963,600/126,114
  6. Step 6: Final answer
    x = 528,053.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.