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Finding the Third Proportional to 126,291 and 268,152

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Solution

The third proportional to 126,291 and 268,152 is: 569,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,291 : 268,152 = 268,152 : x
  2. Step 2: Convert to fraction form
    126,291/268,152 = 268,152/x
  3. Step 3: Cross multiply
    126,291x = 268,152 × 268,152
  4. Step 4: Simplify right side
    126,291x = 71,905,495,104
  5. Step 5: Solve for x
    x = 71,905,495,104/126,291
  6. Step 6: Final answer
    x = 569,363.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.