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Finding the Third Proportional to 31,298 and 67,905

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Solution

The third proportional to 31,298 and 67,905 is: 147,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298 : 67,905 = 67,905 : x
  2. Step 2: Convert to fraction form
    31,298/67,905 = 67,905/x
  3. Step 3: Cross multiply
    31,298x = 67,905 × 67,905
  4. Step 4: Simplify right side
    31,298x = 4,611,089,025
  5. Step 5: Solve for x
    x = 4,611,089,025/31,298
  6. Step 6: Final answer
    x = 147,328.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.