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Finding the Third Proportional to 43,920 and 97,664

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Solution

The third proportional to 43,920 and 97,664 is: 217,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,920 : 97,664 = 97,664 : x
  2. Step 2: Convert to fraction form
    43,920/97,664 = 97,664/x
  3. Step 3: Cross multiply
    43,920x = 97,664 × 97,664
  4. Step 4: Simplify right side
    43,920x = 9,538,256,896
  5. Step 5: Solve for x
    x = 9,538,256,896/43,920
  6. Step 6: Final answer
    x = 217,173.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.