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Finding the Third Proportional to 68,741 and 103,294

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Solution

The third proportional to 68,741 and 103,294 is: 155,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,741 : 103,294 = 103,294 : x
  2. Step 2: Convert to fraction form
    68,741/103,294 = 103,294/x
  3. Step 3: Cross multiply
    68,741x = 103,294 × 103,294
  4. Step 4: Simplify right side
    68,741x = 10,669,650,436
  5. Step 5: Solve for x
    x = 10,669,650,436/68,741
  6. Step 6: Final answer
    x = 155,215.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.