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Finding the Third Proportional to 68,244 and 105,276

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Solution

The third proportional to 68,244 and 105,276 is: 162,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,244 : 105,276 = 105,276 : x
  2. Step 2: Convert to fraction form
    68,244/105,276 = 105,276/x
  3. Step 3: Cross multiply
    68,244x = 105,276 × 105,276
  4. Step 4: Simplify right side
    68,244x = 11,083,036,176
  5. Step 5: Solve for x
    x = 11,083,036,176/68,244
  6. Step 6: Final answer
    x = 162,403.09

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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.