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Finding the Third Proportional to 69,025.50 and 146,007.56

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Solution

The third proportional to 69,025.50 and 146,007.56 is: 308,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,025.50 : 146,007.56 = 146,007.56 : x
  2. Step 2: Convert to fraction form
    69,025.50/146,007.56 = 146,007.56/x
  3. Step 3: Cross multiply
    69,025.50x = 146,007.56 × 146,007.56
  4. Step 4: Simplify right side
    69,025.50x = 21,318,208,307.19
  5. Step 5: Solve for x
    x = 21,318,208,307.19/69,025.50
  6. Step 6: Final answer
    x = 308,845.40

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.