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Finding the Third Proportional to 45,712 and 68,568

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Solution

The third proportional to 45,712 and 68,568 is: 102,852

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,712 : 68,568 = 68,568 : x
  2. Step 2: Convert to fraction form
    45,712/68,568 = 68,568/x
  3. Step 3: Cross multiply
    45,712x = 68,568 × 68,568
  4. Step 4: Simplify right side
    45,712x = 4,701,570,624
  5. Step 5: Solve for x
    x = 4,701,570,624/45,712
  6. Step 6: Final answer
    x = 102,852

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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.