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Finding the Third Proportional to 63,067 and 97,655

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Solution

The third proportional to 63,067 and 97,655 is: 151,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,067 : 97,655 = 97,655 : x
  2. Step 2: Convert to fraction form
    63,067/97,655 = 97,655/x
  3. Step 3: Cross multiply
    63,067x = 97,655 × 97,655
  4. Step 4: Simplify right side
    63,067x = 9,536,499,025
  5. Step 5: Solve for x
    x = 9,536,499,025/63,067
  6. Step 6: Final answer
    x = 151,212.19

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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.