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Finding the Third Proportional to 76,859 and 165,199

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Solution

The third proportional to 76,859 and 165,199 is: 355,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,859 : 165,199 = 165,199 : x
  2. Step 2: Convert to fraction form
    76,859/165,199 = 165,199/x
  3. Step 3: Cross multiply
    76,859x = 165,199 × 165,199
  4. Step 4: Simplify right side
    76,859x = 27,290,709,601
  5. Step 5: Solve for x
    x = 27,290,709,601/76,859
  6. Step 6: Final answer
    x = 355,075.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.