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Finding the Third Proportional to 69,007.50 and 147,683.25

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Solution

The third proportional to 69,007.50 and 147,683.25 is: 316,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,007.50 : 147,683.25 = 147,683.25 : x
  2. Step 2: Convert to fraction form
    69,007.50/147,683.25 = 147,683.25/x
  3. Step 3: Cross multiply
    69,007.50x = 147,683.25 × 147,683.25
  4. Step 4: Simplify right side
    69,007.50x = 21,810,342,330.56
  5. Step 5: Solve for x
    x = 21,810,342,330.56/69,007.50
  6. Step 6: Final answer
    x = 316,057.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.