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Finding the Third Proportional to 67,412 and 145,000

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Solution

The third proportional to 67,412 and 145,000 is: 311,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,412 : 145,000 = 145,000 : x
  2. Step 2: Convert to fraction form
    67,412/145,000 = 145,000/x
  3. Step 3: Cross multiply
    67,412x = 145,000 × 145,000
  4. Step 4: Simplify right side
    67,412x = 21,025,000,000
  5. Step 5: Solve for x
    x = 21,025,000,000/67,412
  6. Step 6: Final answer
    x = 311,888.09

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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.