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Finding the Third Proportional to 45,652 and 68,334

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Solution

The third proportional to 45,652 and 68,334 is: 102,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,652 : 68,334 = 68,334 : x
  2. Step 2: Convert to fraction form
    45,652/68,334 = 68,334/x
  3. Step 3: Cross multiply
    45,652x = 68,334 × 68,334
  4. Step 4: Simplify right side
    45,652x = 4,669,535,556
  5. Step 5: Solve for x
    x = 4,669,535,556/45,652
  6. Step 6: Final answer
    x = 102,285.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.