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Finding the Third Proportional to 107,059.50 and 235,305

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Solution

The third proportional to 107,059.50 and 235,305 is: 517,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059.50 : 235,305 = 235,305 : x
  2. Step 2: Convert to fraction form
    107,059.50/235,305 = 235,305/x
  3. Step 3: Cross multiply
    107,059.50x = 235,305 × 235,305
  4. Step 4: Simplify right side
    107,059.50x = 55,368,443,025
  5. Step 5: Solve for x
    x = 55,368,443,025/107,059.50
  6. Step 6: Final answer
    x = 517,174.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.