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Finding the Third Proportional to 124,816 and 269,313

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Solution

The third proportional to 124,816 and 269,313 is: 581,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,816 : 269,313 = 269,313 : x
  2. Step 2: Convert to fraction form
    124,816/269,313 = 269,313/x
  3. Step 3: Cross multiply
    124,816x = 269,313 × 269,313
  4. Step 4: Simplify right side
    124,816x = 72,529,491,969
  5. Step 5: Solve for x
    x = 72,529,491,969/124,816
  6. Step 6: Final answer
    x = 581,091.30

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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.