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Finding the Third Proportional to 79,837.50 and 133,056

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Solution

The third proportional to 79,837.50 and 133,056 is: 221,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,837.50 : 133,056 = 133,056 : x
  2. Step 2: Convert to fraction form
    79,837.50/133,056 = 133,056/x
  3. Step 3: Cross multiply
    79,837.50x = 133,056 × 133,056
  4. Step 4: Simplify right side
    79,837.50x = 17,703,899,136
  5. Step 5: Solve for x
    x = 17,703,899,136/79,837.50
  6. Step 6: Final answer
    x = 221,749.17

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.