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Finding the Third Proportional to 67,926 and 144,111

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Solution

The third proportional to 67,926 and 144,111 is: 305,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,926 : 144,111 = 144,111 : x
  2. Step 2: Convert to fraction form
    67,926/144,111 = 144,111/x
  3. Step 3: Cross multiply
    67,926x = 144,111 × 144,111
  4. Step 4: Simplify right side
    67,926x = 20,767,980,321
  5. Step 5: Solve for x
    x = 20,767,980,321/67,926
  6. Step 6: Final answer
    x = 305,744.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.