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Finding the Third Proportional to 73,446.75 and 157,965.19

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Solution

The third proportional to 73,446.75 and 157,965.19 is: 339,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,446.75 : 157,965.19 = 157,965.19 : x
  2. Step 2: Convert to fraction form
    73,446.75/157,965.19 = 157,965.19/x
  3. Step 3: Cross multiply
    73,446.75x = 157,965.19 × 157,965.19
  4. Step 4: Simplify right side
    73,446.75x = 24,953,000,461.91
  5. Step 5: Solve for x
    x = 24,953,000,461.91/73,446.75
  6. Step 6: Final answer
    x = 339,742.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.