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Finding the Third Proportional to 144,512.86 and 154,508.13

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Solution

The third proportional to 144,512.86 and 154,508.13 is: 165,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,512.86 : 154,508.13 = 154,508.13 : x
  2. Step 2: Convert to fraction form
    144,512.86/154,508.13 = 154,508.13/x
  3. Step 3: Cross multiply
    144,512.86x = 154,508.13 × 154,508.13
  4. Step 4: Simplify right side
    144,512.86x = 23,872,763,105.21
  5. Step 5: Solve for x
    x = 23,872,763,105.21/144,512.86
  6. Step 6: Final answer
    x = 165,194.73

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.