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Finding the Third Proportional to 63,022 and 97,631

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Solution

The third proportional to 63,022 and 97,631 is: 151,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,022 : 97,631 = 97,631 : x
  2. Step 2: Convert to fraction form
    63,022/97,631 = 97,631/x
  3. Step 3: Cross multiply
    63,022x = 97,631 × 97,631
  4. Step 4: Simplify right side
    63,022x = 9,531,812,161
  5. Step 5: Solve for x
    x = 9,531,812,161/63,022
  6. Step 6: Final answer
    x = 151,245.79

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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.