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Finding the Third Proportional to 38,775 and 86,319

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Solution

The third proportional to 38,775 and 86,319 is: 192,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,775 : 86,319 = 86,319 : x
  2. Step 2: Convert to fraction form
    38,775/86,319 = 86,319/x
  3. Step 3: Cross multiply
    38,775x = 86,319 × 86,319
  4. Step 4: Simplify right side
    38,775x = 7,450,969,761
  5. Step 5: Solve for x
    x = 7,450,969,761/38,775
  6. Step 6: Final answer
    x = 192,159.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.