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Finding the Third Proportional to 70,254 and 144,612

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Solution

The third proportional to 70,254 and 144,612 is: 297,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,254 : 144,612 = 144,612 : x
  2. Step 2: Convert to fraction form
    70,254/144,612 = 144,612/x
  3. Step 3: Cross multiply
    70,254x = 144,612 × 144,612
  4. Step 4: Simplify right side
    70,254x = 20,912,630,544
  5. Step 5: Solve for x
    x = 20,912,630,544/70,254
  6. Step 6: Final answer
    x = 297,671.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.