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Finding the Third Proportional to 67,926 and 149,300

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Solution

The third proportional to 67,926 and 149,300 is: 328,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,926 : 149,300 = 149,300 : x
  2. Step 2: Convert to fraction form
    67,926/149,300 = 149,300/x
  3. Step 3: Cross multiply
    67,926x = 149,300 × 149,300
  4. Step 4: Simplify right side
    67,926x = 22,290,490,000
  5. Step 5: Solve for x
    x = 22,290,490,000/67,926
  6. Step 6: Final answer
    x = 328,158.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.