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Finding the Third Proportional to 65,812 and 103,134

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Solution

The third proportional to 65,812 and 103,134 is: 161,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,812 : 103,134 = 103,134 : x
  2. Step 2: Convert to fraction form
    65,812/103,134 = 103,134/x
  3. Step 3: Cross multiply
    65,812x = 103,134 × 103,134
  4. Step 4: Simplify right side
    65,812x = 10,636,621,956
  5. Step 5: Solve for x
    x = 10,636,621,956/65,812
  6. Step 6: Final answer
    x = 161,621.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.