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Finding the Third Proportional to 32,136.50 and 69,207

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Solution

The third proportional to 32,136.50 and 69,207 is: 149,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.50 : 69,207 = 69,207 : x
  2. Step 2: Convert to fraction form
    32,136.50/69,207 = 69,207/x
  3. Step 3: Cross multiply
    32,136.50x = 69,207 × 69,207
  4. Step 4: Simplify right side
    32,136.50x = 4,789,608,849
  5. Step 5: Solve for x
    x = 4,789,608,849/32,136.50
  6. Step 6: Final answer
    x = 149,039.53

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Why These Related Problems?

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