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Finding the Third Proportional to 56,320 and 121,936

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Solution

The third proportional to 56,320 and 121,936 is: 263,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,320 : 121,936 = 121,936 : x
  2. Step 2: Convert to fraction form
    56,320/121,936 = 121,936/x
  3. Step 3: Cross multiply
    56,320x = 121,936 × 121,936
  4. Step 4: Simplify right side
    56,320x = 14,868,388,096
  5. Step 5: Solve for x
    x = 14,868,388,096/56,320
  6. Step 6: Final answer
    x = 263,998.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.