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Finding the Third Proportional to 68,177.25 and 113,229

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Solution

The third proportional to 68,177.25 and 113,229 is: 188,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,177.25 : 113,229 = 113,229 : x
  2. Step 2: Convert to fraction form
    68,177.25/113,229 = 113,229/x
  3. Step 3: Cross multiply
    68,177.25x = 113,229 × 113,229
  4. Step 4: Simplify right side
    68,177.25x = 12,820,806,441
  5. Step 5: Solve for x
    x = 12,820,806,441/68,177.25
  6. Step 6: Final answer
    x = 188,051.09

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.