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Finding the Third Proportional to 59,629 and 80,695

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Solution

The third proportional to 59,629 and 80,695 is: 109,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,629 : 80,695 = 80,695 : x
  2. Step 2: Convert to fraction form
    59,629/80,695 = 80,695/x
  3. Step 3: Cross multiply
    59,629x = 80,695 × 80,695
  4. Step 4: Simplify right side
    59,629x = 6,511,683,025
  5. Step 5: Solve for x
    x = 6,511,683,025/59,629
  6. Step 6: Final answer
    x = 109,203.29

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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.