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Finding the Third Proportional to 68,536 and 105,479

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Solution

The third proportional to 68,536 and 105,479 is: 162,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,536 : 105,479 = 105,479 : x
  2. Step 2: Convert to fraction form
    68,536/105,479 = 105,479/x
  3. Step 3: Cross multiply
    68,536x = 105,479 × 105,479
  4. Step 4: Simplify right side
    68,536x = 11,125,819,441
  5. Step 5: Solve for x
    x = 11,125,819,441/68,536
  6. Step 6: Final answer
    x = 162,335.41

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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.