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Finding the Third Proportional to 93,724.50 and 137,091.75

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Solution

The third proportional to 93,724.50 and 137,091.75 is: 200,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,724.50 : 137,091.75 = 137,091.75 : x
  2. Step 2: Convert to fraction form
    93,724.50/137,091.75 = 137,091.75/x
  3. Step 3: Cross multiply
    93,724.50x = 137,091.75 × 137,091.75
  4. Step 4: Simplify right side
    93,724.50x = 18,794,147,918.06
  5. Step 5: Solve for x
    x = 18,794,147,918.06/93,724.50
  6. Step 6: Final answer
    x = 200,525.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.