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Finding the Third Proportional to 70,814 and 144,894

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Solution

The third proportional to 70,814 and 144,894 is: 296,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814 : 144,894 = 144,894 : x
  2. Step 2: Convert to fraction form
    70,814/144,894 = 144,894/x
  3. Step 3: Cross multiply
    70,814x = 144,894 × 144,894
  4. Step 4: Simplify right side
    70,814x = 20,994,271,236
  5. Step 5: Solve for x
    x = 20,994,271,236/70,814
  6. Step 6: Final answer
    x = 296,470.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.