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Finding the Third Proportional to 93,350 and 140,699

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Solution

The third proportional to 93,350 and 140,699 is: 212,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,350 : 140,699 = 140,699 : x
  2. Step 2: Convert to fraction form
    93,350/140,699 = 140,699/x
  3. Step 3: Cross multiply
    93,350x = 140,699 × 140,699
  4. Step 4: Simplify right side
    93,350x = 19,796,208,601
  5. Step 5: Solve for x
    x = 19,796,208,601/93,350
  6. Step 6: Final answer
    x = 212,064.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.