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Finding the Third Proportional to 71,406 and 106,893

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Solution

The third proportional to 71,406 and 106,893 is: 160,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406 : 106,893 = 106,893 : x
  2. Step 2: Convert to fraction form
    71,406/106,893 = 106,893/x
  3. Step 3: Cross multiply
    71,406x = 106,893 × 106,893
  4. Step 4: Simplify right side
    71,406x = 11,426,113,449
  5. Step 5: Solve for x
    x = 11,426,113,449/71,406
  6. Step 6: Final answer
    x = 160,016.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.