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Finding the Third Proportional to 39,136.69 and 85,657.88

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Solution

The third proportional to 39,136.69 and 85,657.88 is: 187,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,136.69 : 85,657.88 = 85,657.88 : x
  2. Step 2: Convert to fraction form
    39,136.69/85,657.88 = 85,657.88/x
  3. Step 3: Cross multiply
    39,136.69x = 85,657.88 × 85,657.88
  4. Step 4: Simplify right side
    39,136.69x = 7,337,271,549.52
  5. Step 5: Solve for x
    x = 7,337,271,549.52/39,136.69
  6. Step 6: Final answer
    x = 187,478.09

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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.