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Finding the Third Proportional to 73,676 and 111,128

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Solution

The third proportional to 73,676 and 111,128 is: 167,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,676 : 111,128 = 111,128 : x
  2. Step 2: Convert to fraction form
    73,676/111,128 = 111,128/x
  3. Step 3: Cross multiply
    73,676x = 111,128 × 111,128
  4. Step 4: Simplify right side
    73,676x = 12,349,432,384
  5. Step 5: Solve for x
    x = 12,349,432,384/73,676
  6. Step 6: Final answer
    x = 167,618.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.