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Finding the Third Proportional to 67,059 and 144,657

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Solution

The third proportional to 67,059 and 144,657 is: 312,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,059 : 144,657 = 144,657 : x
  2. Step 2: Convert to fraction form
    67,059/144,657 = 144,657/x
  3. Step 3: Cross multiply
    67,059x = 144,657 × 144,657
  4. Step 4: Simplify right side
    67,059x = 20,925,647,649
  5. Step 5: Solve for x
    x = 20,925,647,649/67,059
  6. Step 6: Final answer
    x = 312,048.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.