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Finding the Third Proportional to 93,694.50 and 123,012

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Solution

The third proportional to 93,694.50 and 123,012 is: 161,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,694.50 : 123,012 = 123,012 : x
  2. Step 2: Convert to fraction form
    93,694.50/123,012 = 123,012/x
  3. Step 3: Cross multiply
    93,694.50x = 123,012 × 123,012
  4. Step 4: Simplify right side
    93,694.50x = 15,131,952,144
  5. Step 5: Solve for x
    x = 15,131,952,144/93,694.50
  6. Step 6: Final answer
    x = 161,503.10

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.