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Finding the Third Proportional to 68,234 and 105,265

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Solution

The third proportional to 68,234 and 105,265 is: 162,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234 : 105,265 = 105,265 : x
  2. Step 2: Convert to fraction form
    68,234/105,265 = 105,265/x
  3. Step 3: Cross multiply
    68,234x = 105,265 × 105,265
  4. Step 4: Simplify right side
    68,234x = 11,080,720,225
  5. Step 5: Solve for x
    x = 11,080,720,225/68,234
  6. Step 6: Final answer
    x = 162,392.95

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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.