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Finding the Third Proportional to 72,892 and 160,052

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Solution

The third proportional to 72,892 and 160,052 is: 351,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,892 : 160,052 = 160,052 : x
  2. Step 2: Convert to fraction form
    72,892/160,052 = 160,052/x
  3. Step 3: Cross multiply
    72,892x = 160,052 × 160,052
  4. Step 4: Simplify right side
    72,892x = 25,616,642,704
  5. Step 5: Solve for x
    x = 25,616,642,704/72,892
  6. Step 6: Final answer
    x = 351,432.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.