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Finding the Third Proportional to 100,056 and 140,722

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Solution

The third proportional to 100,056 and 140,722 is: 197,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056 : 140,722 = 140,722 : x
  2. Step 2: Convert to fraction form
    100,056/140,722 = 140,722/x
  3. Step 3: Cross multiply
    100,056x = 140,722 × 140,722
  4. Step 4: Simplify right side
    100,056x = 19,802,681,284
  5. Step 5: Solve for x
    x = 19,802,681,284/100,056
  6. Step 6: Final answer
    x = 197,915.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.