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Finding the Third Proportional to 38,434 and 84,156

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Solution

The third proportional to 38,434 and 84,156 is: 184,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434 : 84,156 = 84,156 : x
  2. Step 2: Convert to fraction form
    38,434/84,156 = 84,156/x
  3. Step 3: Cross multiply
    38,434x = 84,156 × 84,156
  4. Step 4: Simplify right side
    38,434x = 7,082,232,336
  5. Step 5: Solve for x
    x = 7,082,232,336/38,434
  6. Step 6: Final answer
    x = 184,269.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.