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Finding the Third Proportional to 68,252 and 105,294

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Solution

The third proportional to 68,252 and 105,294 is: 162,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,252 : 105,294 = 105,294 : x
  2. Step 2: Convert to fraction form
    68,252/105,294 = 105,294/x
  3. Step 3: Cross multiply
    68,252x = 105,294 × 105,294
  4. Step 4: Simplify right side
    68,252x = 11,086,826,436
  5. Step 5: Solve for x
    x = 11,086,826,436/68,252
  6. Step 6: Final answer
    x = 162,439.58

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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.