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Finding the Third Proportional to 69,338.25 and 141,962.25

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Solution

The third proportional to 69,338.25 and 141,962.25 is: 290,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,338.25 : 141,962.25 = 141,962.25 : x
  2. Step 2: Convert to fraction form
    69,338.25/141,962.25 = 141,962.25/x
  3. Step 3: Cross multiply
    69,338.25x = 141,962.25 × 141,962.25
  4. Step 4: Simplify right side
    69,338.25x = 20,153,280,425.06
  5. Step 5: Solve for x
    x = 20,153,280,425.06/69,338.25
  6. Step 6: Final answer
    x = 290,651.70

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.