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Finding the Third Proportional to 93,671 and 140,510

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Solution

The third proportional to 93,671 and 140,510 is: 210,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,671 : 140,510 = 140,510 : x
  2. Step 2: Convert to fraction form
    93,671/140,510 = 140,510/x
  3. Step 3: Cross multiply
    93,671x = 140,510 × 140,510
  4. Step 4: Simplify right side
    93,671x = 19,743,060,100
  5. Step 5: Solve for x
    x = 19,743,060,100/93,671
  6. Step 6: Final answer
    x = 210,770.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.