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Finding the Third Proportional to 39,096 and 85,359

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Solution

The third proportional to 39,096 and 85,359 is: 186,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,096 : 85,359 = 85,359 : x
  2. Step 2: Convert to fraction form
    39,096/85,359 = 85,359/x
  3. Step 3: Cross multiply
    39,096x = 85,359 × 85,359
  4. Step 4: Simplify right side
    39,096x = 7,286,158,881
  5. Step 5: Solve for x
    x = 7,286,158,881/39,096
  6. Step 6: Final answer
    x = 186,365.84

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Why These Related Problems?

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