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Finding the Third Proportional to 67,071 and 90,765

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Solution

The third proportional to 67,071 and 90,765 is: 122,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,071 : 90,765 = 90,765 : x
  2. Step 2: Convert to fraction form
    67,071/90,765 = 90,765/x
  3. Step 3: Cross multiply
    67,071x = 90,765 × 90,765
  4. Step 4: Simplify right side
    67,071x = 8,238,285,225
  5. Step 5: Solve for x
    x = 8,238,285,225/67,071
  6. Step 6: Final answer
    x = 122,829.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.