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Finding the Third Proportional to 67,567 and 144,973

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Solution

The third proportional to 67,567 and 144,973 is: 311,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,567 : 144,973 = 144,973 : x
  2. Step 2: Convert to fraction form
    67,567/144,973 = 144,973/x
  3. Step 3: Cross multiply
    67,567x = 144,973 × 144,973
  4. Step 4: Simplify right side
    67,567x = 21,017,170,729
  5. Step 5: Solve for x
    x = 21,017,170,729/67,567
  6. Step 6: Final answer
    x = 311,056.74

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