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Finding the Third Proportional to 39,123 and 85,414

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Solution

The third proportional to 39,123 and 85,414 is: 186,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,123 : 85,414 = 85,414 : x
  2. Step 2: Convert to fraction form
    39,123/85,414 = 85,414/x
  3. Step 3: Cross multiply
    39,123x = 85,414 × 85,414
  4. Step 4: Simplify right side
    39,123x = 7,295,551,396
  5. Step 5: Solve for x
    x = 7,295,551,396/39,123
  6. Step 6: Final answer
    x = 186,477.30

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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.