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Finding the Third Proportional to 112,772 and 167,943

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Solution

The third proportional to 112,772 and 167,943 is: 250,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,772 : 167,943 = 167,943 : x
  2. Step 2: Convert to fraction form
    112,772/167,943 = 167,943/x
  3. Step 3: Cross multiply
    112,772x = 167,943 × 167,943
  4. Step 4: Simplify right side
    112,772x = 28,204,851,249
  5. Step 5: Solve for x
    x = 28,204,851,249/112,772
  6. Step 6: Final answer
    x = 250,105.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.