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Finding the Third Proportional to 51,963 and 112,229

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Solution

The third proportional to 51,963 and 112,229 is: 242,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963 : 112,229 = 112,229 : x
  2. Step 2: Convert to fraction form
    51,963/112,229 = 112,229/x
  3. Step 3: Cross multiply
    51,963x = 112,229 × 112,229
  4. Step 4: Simplify right side
    51,963x = 12,595,348,441
  5. Step 5: Solve for x
    x = 12,595,348,441/51,963
  6. Step 6: Final answer
    x = 242,390.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.