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Finding the Third Proportional to 45,654 and 68,625

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Solution

The third proportional to 45,654 and 68,625 is: 103,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,654 : 68,625 = 68,625 : x
  2. Step 2: Convert to fraction form
    45,654/68,625 = 68,625/x
  3. Step 3: Cross multiply
    45,654x = 68,625 × 68,625
  4. Step 4: Simplify right side
    45,654x = 4,709,390,625
  5. Step 5: Solve for x
    x = 4,709,390,625/45,654
  6. Step 6: Final answer
    x = 103,153.95

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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.