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Finding the Third Proportional to 66,314.25 and 135,692.25

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Solution

The third proportional to 66,314.25 and 135,692.25 is: 277,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,314.25 : 135,692.25 = 135,692.25 : x
  2. Step 2: Convert to fraction form
    66,314.25/135,692.25 = 135,692.25/x
  3. Step 3: Cross multiply
    66,314.25x = 135,692.25 × 135,692.25
  4. Step 4: Simplify right side
    66,314.25x = 18,412,386,710.06
  5. Step 5: Solve for x
    x = 18,412,386,710.06/66,314.25
  6. Step 6: Final answer
    x = 277,653.55

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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.