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Finding the Third Proportional to 67,653 and 102,933

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Solution

The third proportional to 67,653 and 102,933 is: 156,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,653 : 102,933 = 102,933 : x
  2. Step 2: Convert to fraction form
    67,653/102,933 = 102,933/x
  3. Step 3: Cross multiply
    67,653x = 102,933 × 102,933
  4. Step 4: Simplify right side
    67,653x = 10,595,202,489
  5. Step 5: Solve for x
    x = 10,595,202,489/67,653
  6. Step 6: Final answer
    x = 156,610.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.