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Finding the Third Proportional to 109,350 and 158,004

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Solution

The third proportional to 109,350 and 158,004 is: 228,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,350 : 158,004 = 158,004 : x
  2. Step 2: Convert to fraction form
    109,350/158,004 = 158,004/x
  3. Step 3: Cross multiply
    109,350x = 158,004 × 158,004
  4. Step 4: Simplify right side
    109,350x = 24,965,264,016
  5. Step 5: Solve for x
    x = 24,965,264,016/109,350
  6. Step 6: Final answer
    x = 228,306.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.