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Finding the Third Proportional to 66,997 and 103,691

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Solution

The third proportional to 66,997 and 103,691 is: 160,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,997 : 103,691 = 103,691 : x
  2. Step 2: Convert to fraction form
    66,997/103,691 = 103,691/x
  3. Step 3: Cross multiply
    66,997x = 103,691 × 103,691
  4. Step 4: Simplify right side
    66,997x = 10,751,823,481
  5. Step 5: Solve for x
    x = 10,751,823,481/66,997
  6. Step 6: Final answer
    x = 160,482.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.