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Finding the Third Proportional to 93,364 and 140,114

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Solution

The third proportional to 93,364 and 140,114 is: 210,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,364 : 140,114 = 140,114 : x
  2. Step 2: Convert to fraction form
    93,364/140,114 = 140,114/x
  3. Step 3: Cross multiply
    93,364x = 140,114 × 140,114
  4. Step 4: Simplify right side
    93,364x = 19,631,932,996
  5. Step 5: Solve for x
    x = 19,631,932,996/93,364
  6. Step 6: Final answer
    x = 210,273.05

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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.