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Finding the Third Proportional to 72,991.13 and 167,442.19

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Solution

The third proportional to 72,991.13 and 167,442.19 is: 384,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991.13 : 167,442.19 = 167,442.19 : x
  2. Step 2: Convert to fraction form
    72,991.13/167,442.19 = 167,442.19/x
  3. Step 3: Cross multiply
    72,991.13x = 167,442.19 × 167,442.19
  4. Step 4: Simplify right side
    72,991.13x = 28,036,886,154.79
  5. Step 5: Solve for x
    x = 28,036,886,154.79/72,991.13
  6. Step 6: Final answer
    x = 384,113.63

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.