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Finding the Third Proportional to 67,023 and 144,343

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Solution

The third proportional to 67,023 and 144,343 is: 310,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,023 : 144,343 = 144,343 : x
  2. Step 2: Convert to fraction form
    67,023/144,343 = 144,343/x
  3. Step 3: Cross multiply
    67,023x = 144,343 × 144,343
  4. Step 4: Simplify right side
    67,023x = 20,834,901,649
  5. Step 5: Solve for x
    x = 20,834,901,649/67,023
  6. Step 6: Final answer
    x = 310,861.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.