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Finding the Third Proportional to 129,136.50 and 279,717.75

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Solution

The third proportional to 129,136.50 and 279,717.75 is: 605,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,136.50 : 279,717.75 = 279,717.75 : x
  2. Step 2: Convert to fraction form
    129,136.50/279,717.75 = 279,717.75/x
  3. Step 3: Cross multiply
    129,136.50x = 279,717.75 × 279,717.75
  4. Step 4: Simplify right side
    129,136.50x = 78,242,019,665.06
  5. Step 5: Solve for x
    x = 78,242,019,665.06/129,136.50
  6. Step 6: Final answer
    x = 605,886.17

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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.