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Finding the Third Proportional to 34,072 and 73,328

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Solution

The third proportional to 34,072 and 73,328 is: 157,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072 : 73,328 = 73,328 : x
  2. Step 2: Convert to fraction form
    34,072/73,328 = 73,328/x
  3. Step 3: Cross multiply
    34,072x = 73,328 × 73,328
  4. Step 4: Simplify right side
    34,072x = 5,376,995,584
  5. Step 5: Solve for x
    x = 5,376,995,584/34,072
  6. Step 6: Final answer
    x = 157,812.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.