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Finding the Third Proportional to 126,518 and 264,727

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Solution

The third proportional to 126,518 and 264,727 is: 553,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,518 : 264,727 = 264,727 : x
  2. Step 2: Convert to fraction form
    126,518/264,727 = 264,727/x
  3. Step 3: Cross multiply
    126,518x = 264,727 × 264,727
  4. Step 4: Simplify right side
    126,518x = 70,080,384,529
  5. Step 5: Solve for x
    x = 70,080,384,529/126,518
  6. Step 6: Final answer
    x = 553,916.32

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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.