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Finding the Third Proportional to 69,903 and 144,630

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Solution

The third proportional to 69,903 and 144,630 is: 299,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,903 : 144,630 = 144,630 : x
  2. Step 2: Convert to fraction form
    69,903/144,630 = 144,630/x
  3. Step 3: Cross multiply
    69,903x = 144,630 × 144,630
  4. Step 4: Simplify right side
    69,903x = 20,917,836,900
  5. Step 5: Solve for x
    x = 20,917,836,900/69,903
  6. Step 6: Final answer
    x = 299,240.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.