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Finding the Third Proportional to 104,980.50 and 161,358.75

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Solution

The third proportional to 104,980.50 and 161,358.75 is: 248,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,980.50 : 161,358.75 = 161,358.75 : x
  2. Step 2: Convert to fraction form
    104,980.50/161,358.75 = 161,358.75/x
  3. Step 3: Cross multiply
    104,980.50x = 161,358.75 × 161,358.75
  4. Step 4: Simplify right side
    104,980.50x = 26,036,646,201.56
  5. Step 5: Solve for x
    x = 26,036,646,201.56/104,980.50
  6. Step 6: Final answer
    x = 248,014.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.