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Finding the Third Proportional to 113,765 and 244,972

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Solution

The third proportional to 113,765 and 244,972 is: 527,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,765 : 244,972 = 244,972 : x
  2. Step 2: Convert to fraction form
    113,765/244,972 = 244,972/x
  3. Step 3: Cross multiply
    113,765x = 244,972 × 244,972
  4. Step 4: Simplify right side
    113,765x = 60,011,280,784
  5. Step 5: Solve for x
    x = 60,011,280,784/113,765
  6. Step 6: Final answer
    x = 527,502.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.