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Finding the Third Proportional to 34,319 and 75,199

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Solution

The third proportional to 34,319 and 75,199 is: 164,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319 : 75,199 = 75,199 : x
  2. Step 2: Convert to fraction form
    34,319/75,199 = 75,199/x
  3. Step 3: Cross multiply
    34,319x = 75,199 × 75,199
  4. Step 4: Simplify right side
    34,319x = 5,654,889,601
  5. Step 5: Solve for x
    x = 5,654,889,601/34,319
  6. Step 6: Final answer
    x = 164,774.31

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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.