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Finding the Third Proportional to 74,438 and 111,672

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Solution

The third proportional to 74,438 and 111,672 is: 167,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,438 : 111,672 = 111,672 : x
  2. Step 2: Convert to fraction form
    74,438/111,672 = 111,672/x
  3. Step 3: Cross multiply
    74,438x = 111,672 × 111,672
  4. Step 4: Simplify right side
    74,438x = 12,470,635,584
  5. Step 5: Solve for x
    x = 12,470,635,584/74,438
  6. Step 6: Final answer
    x = 167,530.50

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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.