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Finding the Third Proportional to 69,513 and 151,767.75

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Solution

The third proportional to 69,513 and 151,767.75 is: 331,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,513 : 151,767.75 = 151,767.75 : x
  2. Step 2: Convert to fraction form
    69,513/151,767.75 = 151,767.75/x
  3. Step 3: Cross multiply
    69,513x = 151,767.75 × 151,767.75
  4. Step 4: Simplify right side
    69,513x = 23,033,449,940.06
  5. Step 5: Solve for x
    x = 23,033,449,940.06/69,513
  6. Step 6: Final answer
    x = 331,354.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.