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Finding the Third Proportional to 66,971 and 103,697

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Solution

The third proportional to 66,971 and 103,697 is: 160,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,971 : 103,697 = 103,697 : x
  2. Step 2: Convert to fraction form
    66,971/103,697 = 103,697/x
  3. Step 3: Cross multiply
    66,971x = 103,697 × 103,697
  4. Step 4: Simplify right side
    66,971x = 10,753,067,809
  5. Step 5: Solve for x
    x = 10,753,067,809/66,971
  6. Step 6: Final answer
    x = 160,563.05

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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.