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Finding the Third Proportional to 67,305 and 97,825

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Solution

The third proportional to 67,305 and 97,825 is: 142,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,305 : 97,825 = 97,825 : x
  2. Step 2: Convert to fraction form
    67,305/97,825 = 97,825/x
  3. Step 3: Cross multiply
    67,305x = 97,825 × 97,825
  4. Step 4: Simplify right side
    67,305x = 9,569,730,625
  5. Step 5: Solve for x
    x = 9,569,730,625/67,305
  6. Step 6: Final answer
    x = 142,184.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.