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Finding the Third Proportional to 47,040 and 101,664

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Solution

The third proportional to 47,040 and 101,664 is: 219,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,040 : 101,664 = 101,664 : x
  2. Step 2: Convert to fraction form
    47,040/101,664 = 101,664/x
  3. Step 3: Cross multiply
    47,040x = 101,664 × 101,664
  4. Step 4: Simplify right side
    47,040x = 10,335,568,896
  5. Step 5: Solve for x
    x = 10,335,568,896/47,040
  6. Step 6: Final answer
    x = 219,718.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.