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Finding the Third Proportional to 69,105 and 145,173

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Solution

The third proportional to 69,105 and 145,173 is: 304,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,105 : 145,173 = 145,173 : x
  2. Step 2: Convert to fraction form
    69,105/145,173 = 145,173/x
  3. Step 3: Cross multiply
    69,105x = 145,173 × 145,173
  4. Step 4: Simplify right side
    69,105x = 21,075,199,929
  5. Step 5: Solve for x
    x = 21,075,199,929/69,105
  6. Step 6: Final answer
    x = 304,973.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.