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Finding the Third Proportional to 45,691 and 68,535

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Solution

The third proportional to 45,691 and 68,535 is: 102,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,691 : 68,535 = 68,535 : x
  2. Step 2: Convert to fraction form
    45,691/68,535 = 68,535/x
  3. Step 3: Cross multiply
    45,691x = 68,535 × 68,535
  4. Step 4: Simplify right side
    45,691x = 4,697,046,225
  5. Step 5: Solve for x
    x = 4,697,046,225/45,691
  6. Step 6: Final answer
    x = 102,800.25

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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.