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Finding the Third Proportional to 73,914.75 and 162,136

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Solution

The third proportional to 73,914.75 and 162,136 is: 355,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,914.75 : 162,136 = 162,136 : x
  2. Step 2: Convert to fraction form
    73,914.75/162,136 = 162,136/x
  3. Step 3: Cross multiply
    73,914.75x = 162,136 × 162,136
  4. Step 4: Simplify right side
    73,914.75x = 26,288,082,496
  5. Step 5: Solve for x
    x = 26,288,082,496/73,914.75
  6. Step 6: Final answer
    x = 355,654.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.