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Finding the Third Proportional to 92,844 and 167,256

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Solution

The third proportional to 92,844 and 167,256 is: 301,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,844 : 167,256 = 167,256 : x
  2. Step 2: Convert to fraction form
    92,844/167,256 = 167,256/x
  3. Step 3: Cross multiply
    92,844x = 167,256 × 167,256
  4. Step 4: Simplify right side
    92,844x = 27,974,569,536
  5. Step 5: Solve for x
    x = 27,974,569,536/92,844
  6. Step 6: Final answer
    x = 301,307.24

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.