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Finding the Third Proportional to 73,466 and 159,148

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Solution

The third proportional to 73,466 and 159,148 is: 344,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,466 : 159,148 = 159,148 : x
  2. Step 2: Convert to fraction form
    73,466/159,148 = 159,148/x
  3. Step 3: Cross multiply
    73,466x = 159,148 × 159,148
  4. Step 4: Simplify right side
    73,466x = 25,328,085,904
  5. Step 5: Solve for x
    x = 25,328,085,904/73,466
  6. Step 6: Final answer
    x = 344,759.29

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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.