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Finding the Third Proportional to 47,136 and 102,594.75

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Solution

The third proportional to 47,136 and 102,594.75 is: 223,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,136 : 102,594.75 = 102,594.75 : x
  2. Step 2: Convert to fraction form
    47,136/102,594.75 = 102,594.75/x
  3. Step 3: Cross multiply
    47,136x = 102,594.75 × 102,594.75
  4. Step 4: Simplify right side
    47,136x = 10,525,682,727.56
  5. Step 5: Solve for x
    x = 10,525,682,727.56/47,136
  6. Step 6: Final answer
    x = 223,304.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.