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Finding the Third Proportional to 42,997 and 96,569

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Solution

The third proportional to 42,997 and 96,569 is: 216,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,997 : 96,569 = 96,569 : x
  2. Step 2: Convert to fraction form
    42,997/96,569 = 96,569/x
  3. Step 3: Cross multiply
    42,997x = 96,569 × 96,569
  4. Step 4: Simplify right side
    42,997x = 9,325,571,761
  5. Step 5: Solve for x
    x = 9,325,571,761/42,997
  6. Step 6: Final answer
    x = 216,888.89

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.