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Finding the Third Proportional to 48,609 and 114,453

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Solution

The third proportional to 48,609 and 114,453 is: 269,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,609 : 114,453 = 114,453 : x
  2. Step 2: Convert to fraction form
    48,609/114,453 = 114,453/x
  3. Step 3: Cross multiply
    48,609x = 114,453 × 114,453
  4. Step 4: Simplify right side
    48,609x = 13,099,489,209
  5. Step 5: Solve for x
    x = 13,099,489,209/48,609
  6. Step 6: Final answer
    x = 269,486.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.