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Finding the Third Proportional to 68,229 and 105,259

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Solution

The third proportional to 68,229 and 105,259 is: 162,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,229 : 105,259 = 105,259 : x
  2. Step 2: Convert to fraction form
    68,229/105,259 = 105,259/x
  3. Step 3: Cross multiply
    68,229x = 105,259 × 105,259
  4. Step 4: Simplify right side
    68,229x = 11,079,457,081
  5. Step 5: Solve for x
    x = 11,079,457,081/68,229
  6. Step 6: Final answer
    x = 162,386.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.