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Finding the Third Proportional to 60,997 and 129,770

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Solution

The third proportional to 60,997 and 129,770 is: 276,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,997 : 129,770 = 129,770 : x
  2. Step 2: Convert to fraction form
    60,997/129,770 = 129,770/x
  3. Step 3: Cross multiply
    60,997x = 129,770 × 129,770
  4. Step 4: Simplify right side
    60,997x = 16,840,252,900
  5. Step 5: Solve for x
    x = 16,840,252,900/60,997
  6. Step 6: Final answer
    x = 276,083.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.