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Finding the Third Proportional to 34,112 and 74,112

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Solution

The third proportional to 34,112 and 74,112 is: 161,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112 : 74,112 = 74,112 : x
  2. Step 2: Convert to fraction form
    34,112/74,112 = 74,112/x
  3. Step 3: Cross multiply
    34,112x = 74,112 × 74,112
  4. Step 4: Simplify right side
    34,112x = 5,492,588,544
  5. Step 5: Solve for x
    x = 5,492,588,544/34,112
  6. Step 6: Final answer
    x = 161,016.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.