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Finding the Third Proportional to 72,252 and 109,770

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Solution

The third proportional to 72,252 and 109,770 is: 166,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,252 : 109,770 = 109,770 : x
  2. Step 2: Convert to fraction form
    72,252/109,770 = 109,770/x
  3. Step 3: Cross multiply
    72,252x = 109,770 × 109,770
  4. Step 4: Simplify right side
    72,252x = 12,049,452,900
  5. Step 5: Solve for x
    x = 12,049,452,900/72,252
  6. Step 6: Final answer
    x = 166,769.82

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