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Finding the Third Proportional to 74,034 and 119,228

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Solution

The third proportional to 74,034 and 119,228 is: 192,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 119,228 = 119,228 : x
  2. Step 2: Convert to fraction form
    74,034/119,228 = 119,228/x
  3. Step 3: Cross multiply
    74,034x = 119,228 × 119,228
  4. Step 4: Simplify right side
    74,034x = 14,215,315,984
  5. Step 5: Solve for x
    x = 14,215,315,984/74,034
  6. Step 6: Final answer
    x = 192,010.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.