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Finding the Third Proportional to 103,186 and 154,305

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Solution

The third proportional to 103,186 and 154,305 is: 230,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,186 : 154,305 = 154,305 : x
  2. Step 2: Convert to fraction form
    103,186/154,305 = 154,305/x
  3. Step 3: Cross multiply
    103,186x = 154,305 × 154,305
  4. Step 4: Simplify right side
    103,186x = 23,810,033,025
  5. Step 5: Solve for x
    x = 23,810,033,025/103,186
  6. Step 6: Final answer
    x = 230,748.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.