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Finding the Third Proportional to 65,812 and 93,796

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Solution

The third proportional to 65,812 and 93,796 is: 133,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,812 : 93,796 = 93,796 : x
  2. Step 2: Convert to fraction form
    65,812/93,796 = 93,796/x
  3. Step 3: Cross multiply
    65,812x = 93,796 × 93,796
  4. Step 4: Simplify right side
    65,812x = 8,797,689,616
  5. Step 5: Solve for x
    x = 8,797,689,616/65,812
  6. Step 6: Final answer
    x = 133,679.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.