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Finding the Third Proportional to 71,660 and 111,333

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Solution

The third proportional to 71,660 and 111,333 is: 172,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,660 : 111,333 = 111,333 : x
  2. Step 2: Convert to fraction form
    71,660/111,333 = 111,333/x
  3. Step 3: Cross multiply
    71,660x = 111,333 × 111,333
  4. Step 4: Simplify right side
    71,660x = 12,395,036,889
  5. Step 5: Solve for x
    x = 12,395,036,889/71,660
  6. Step 6: Final answer
    x = 172,970.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.