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Finding the Third Proportional to 39,095.68 and 85,207.99

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Solution

The third proportional to 39,095.68 and 85,207.99 is: 185,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,095.68 : 85,207.99 = 85,207.99 : x
  2. Step 2: Convert to fraction form
    39,095.68/85,207.99 = 85,207.99/x
  3. Step 3: Cross multiply
    39,095.68x = 85,207.99 × 85,207.99
  4. Step 4: Simplify right side
    39,095.68x = 7,260,401,932.63
  5. Step 5: Solve for x
    x = 7,260,401,932.63/39,095.68
  6. Step 6: Final answer
    x = 185,708.53

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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.