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Finding the Third Proportional to 126,590 and 275,858

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Solution

The third proportional to 126,590 and 275,858 is: 601,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,590 : 275,858 = 275,858 : x
  2. Step 2: Convert to fraction form
    126,590/275,858 = 275,858/x
  3. Step 3: Cross multiply
    126,590x = 275,858 × 275,858
  4. Step 4: Simplify right side
    126,590x = 76,097,636,164
  5. Step 5: Solve for x
    x = 76,097,636,164/126,590
  6. Step 6: Final answer
    x = 601,134.66

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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.