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Finding the Third Proportional to 67,064 and 144,666

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Solution

The third proportional to 67,064 and 144,666 is: 312,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,064 : 144,666 = 144,666 : x
  2. Step 2: Convert to fraction form
    67,064/144,666 = 144,666/x
  3. Step 3: Cross multiply
    67,064x = 144,666 × 144,666
  4. Step 4: Simplify right side
    67,064x = 20,928,251,556
  5. Step 5: Solve for x
    x = 20,928,251,556/67,064
  6. Step 6: Final answer
    x = 312,063.87

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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.