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Finding the Third Proportional to 47,712 and 101,568

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Solution

The third proportional to 47,712 and 101,568 is: 216,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712 : 101,568 = 101,568 : x
  2. Step 2: Convert to fraction form
    47,712/101,568 = 101,568/x
  3. Step 3: Cross multiply
    47,712x = 101,568 × 101,568
  4. Step 4: Simplify right side
    47,712x = 10,316,058,624
  5. Step 5: Solve for x
    x = 10,316,058,624/47,712
  6. Step 6: Final answer
    x = 216,215.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.