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Finding the Third Proportional to 89,082 and 142,056

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Solution

The third proportional to 89,082 and 142,056 is: 226,531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,082 : 142,056 = 142,056 : x
  2. Step 2: Convert to fraction form
    89,082/142,056 = 142,056/x
  3. Step 3: Cross multiply
    89,082x = 142,056 × 142,056
  4. Step 4: Simplify right side
    89,082x = 20,179,907,136
  5. Step 5: Solve for x
    x = 20,179,907,136/89,082
  6. Step 6: Final answer
    x = 226,531.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.