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Finding the Third Proportional to 73,012 and 104,334

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Solution

The third proportional to 73,012 and 104,334 is: 149,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,012 : 104,334 = 104,334 : x
  2. Step 2: Convert to fraction form
    73,012/104,334 = 104,334/x
  3. Step 3: Cross multiply
    73,012x = 104,334 × 104,334
  4. Step 4: Simplify right side
    73,012x = 10,885,583,556
  5. Step 5: Solve for x
    x = 10,885,583,556/73,012
  6. Step 6: Final answer
    x = 149,093.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.