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Finding the Third Proportional to 39,213 and 85,930

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Solution

The third proportional to 39,213 and 85,930 is: 188,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,213 : 85,930 = 85,930 : x
  2. Step 2: Convert to fraction form
    39,213/85,930 = 85,930/x
  3. Step 3: Cross multiply
    39,213x = 85,930 × 85,930
  4. Step 4: Simplify right side
    39,213x = 7,383,964,900
  5. Step 5: Solve for x
    x = 7,383,964,900/39,213
  6. Step 6: Final answer
    x = 188,304.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.