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Finding the Third Proportional to 39,414 and 85,740

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Solution

The third proportional to 39,414 and 85,740 is: 186,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 85,740 = 85,740 : x
  2. Step 2: Convert to fraction form
    39,414/85,740 = 85,740/x
  3. Step 3: Cross multiply
    39,414x = 85,740 × 85,740
  4. Step 4: Simplify right side
    39,414x = 7,351,347,600
  5. Step 5: Solve for x
    x = 7,351,347,600/39,414
  6. Step 6: Final answer
    x = 186,516.15

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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.