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Finding the Third Proportional to 45,691 and 68,536

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Solution

The third proportional to 45,691 and 68,536 is: 102,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,691 : 68,536 = 68,536 : x
  2. Step 2: Convert to fraction form
    45,691/68,536 = 68,536/x
  3. Step 3: Cross multiply
    45,691x = 68,536 × 68,536
  4. Step 4: Simplify right side
    45,691x = 4,697,183,296
  5. Step 5: Solve for x
    x = 4,697,183,296/45,691
  6. Step 6: Final answer
    x = 102,803.25

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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.