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Finding the Third Proportional to 38,148 and 81,256

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Solution

The third proportional to 38,148 and 81,256 is: 173,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,148 : 81,256 = 81,256 : x
  2. Step 2: Convert to fraction form
    38,148/81,256 = 81,256/x
  3. Step 3: Cross multiply
    38,148x = 81,256 × 81,256
  4. Step 4: Simplify right side
    38,148x = 6,602,537,536
  5. Step 5: Solve for x
    x = 6,602,537,536/38,148
  6. Step 6: Final answer
    x = 173,076.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.