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Finding the Third Proportional to 63,530 and 84,695

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Solution

The third proportional to 63,530 and 84,695 is: 112,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,530 : 84,695 = 84,695 : x
  2. Step 2: Convert to fraction form
    63,530/84,695 = 84,695/x
  3. Step 3: Cross multiply
    63,530x = 84,695 × 84,695
  4. Step 4: Simplify right side
    63,530x = 7,173,243,025
  5. Step 5: Solve for x
    x = 7,173,243,025/63,530
  6. Step 6: Final answer
    x = 112,911.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.