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Finding the Third Proportional to 56,680 and 115,664

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Solution

The third proportional to 56,680 and 115,664 is: 236,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,680 : 115,664 = 115,664 : x
  2. Step 2: Convert to fraction form
    56,680/115,664 = 115,664/x
  3. Step 3: Cross multiply
    56,680x = 115,664 × 115,664
  4. Step 4: Simplify right side
    56,680x = 13,378,160,896
  5. Step 5: Solve for x
    x = 13,378,160,896/56,680
  6. Step 6: Final answer
    x = 236,029.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.