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Finding the Third Proportional to 115,126 and 244,144

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Solution

The third proportional to 115,126 and 244,144 is: 517,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,126 : 244,144 = 244,144 : x
  2. Step 2: Convert to fraction form
    115,126/244,144 = 244,144/x
  3. Step 3: Cross multiply
    115,126x = 244,144 × 244,144
  4. Step 4: Simplify right side
    115,126x = 59,606,292,736
  5. Step 5: Solve for x
    x = 59,606,292,736/115,126
  6. Step 6: Final answer
    x = 517,748.32

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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.