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Finding the Third Proportional to 93,912 and 137,994

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Solution

The third proportional to 93,912 and 137,994 is: 202,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,912 : 137,994 = 137,994 : x
  2. Step 2: Convert to fraction form
    93,912/137,994 = 137,994/x
  3. Step 3: Cross multiply
    93,912x = 137,994 × 137,994
  4. Step 4: Simplify right side
    93,912x = 19,042,344,036
  5. Step 5: Solve for x
    x = 19,042,344,036/93,912
  6. Step 6: Final answer
    x = 202,767.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.