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Finding the Third Proportional to 74,427 and 111,808

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Solution

The third proportional to 74,427 and 111,808 is: 167,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,427 : 111,808 = 111,808 : x
  2. Step 2: Convert to fraction form
    74,427/111,808 = 111,808/x
  3. Step 3: Cross multiply
    74,427x = 111,808 × 111,808
  4. Step 4: Simplify right side
    74,427x = 12,501,028,864
  5. Step 5: Solve for x
    x = 12,501,028,864/74,427
  6. Step 6: Final answer
    x = 167,963.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.