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Finding the Third Proportional to 69,103.50 and 145,170

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Solution

The third proportional to 69,103.50 and 145,170 is: 304,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,103.50 : 145,170 = 145,170 : x
  2. Step 2: Convert to fraction form
    69,103.50/145,170 = 145,170/x
  3. Step 3: Cross multiply
    69,103.50x = 145,170 × 145,170
  4. Step 4: Simplify right side
    69,103.50x = 21,074,328,900
  5. Step 5: Solve for x
    x = 21,074,328,900/69,103.50
  6. Step 6: Final answer
    x = 304,967.61

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