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Finding the Third Proportional to 42,112 and 89,056

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Solution

The third proportional to 42,112 and 89,056 is: 188,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,112 : 89,056 = 89,056 : x
  2. Step 2: Convert to fraction form
    42,112/89,056 = 89,056/x
  3. Step 3: Cross multiply
    42,112x = 89,056 × 89,056
  4. Step 4: Simplify right side
    42,112x = 7,930,971,136
  5. Step 5: Solve for x
    x = 7,930,971,136/42,112
  6. Step 6: Final answer
    x = 188,330.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.