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Finding the Third Proportional to 126,723 and 273,534

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Solution

The third proportional to 126,723 and 273,534 is: 590,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,723 : 273,534 = 273,534 : x
  2. Step 2: Convert to fraction form
    126,723/273,534 = 273,534/x
  3. Step 3: Cross multiply
    126,723x = 273,534 × 273,534
  4. Step 4: Simplify right side
    126,723x = 74,820,849,156
  5. Step 5: Solve for x
    x = 74,820,849,156/126,723
  6. Step 6: Final answer
    x = 590,428.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.