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Finding the Third Proportional to 73,254 and 140,672

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Solution

The third proportional to 73,254 and 140,672 is: 270,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,254 : 140,672 = 140,672 : x
  2. Step 2: Convert to fraction form
    73,254/140,672 = 140,672/x
  3. Step 3: Cross multiply
    73,254x = 140,672 × 140,672
  4. Step 4: Simplify right side
    73,254x = 19,788,611,584
  5. Step 5: Solve for x
    x = 19,788,611,584/73,254
  6. Step 6: Final answer
    x = 270,136.94

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.