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Finding the Third Proportional to 66,106.13 and 135,732.38

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Solution

The third proportional to 66,106.13 and 135,732.38 is: 278,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.13 : 135,732.38 = 135,732.38 : x
  2. Step 2: Convert to fraction form
    66,106.13/135,732.38 = 135,732.38/x
  3. Step 3: Cross multiply
    66,106.13x = 135,732.38 × 135,732.38
  4. Step 4: Simplify right side
    66,106.13x = 18,423,277,623.14
  5. Step 5: Solve for x
    x = 18,423,277,623.14/66,106.13
  6. Step 6: Final answer
    x = 278,692.45

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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.