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Finding the Third Proportional to 126,549 and 264,735

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Solution

The third proportional to 126,549 and 264,735 is: 553,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,549 : 264,735 = 264,735 : x
  2. Step 2: Convert to fraction form
    126,549/264,735 = 264,735/x
  3. Step 3: Cross multiply
    126,549x = 264,735 × 264,735
  4. Step 4: Simplify right side
    126,549x = 70,084,620,225
  5. Step 5: Solve for x
    x = 70,084,620,225/126,549
  6. Step 6: Final answer
    x = 553,814.10

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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.