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Finding the Third Proportional to 66,106.50 and 135,732.50

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Solution

The third proportional to 66,106.50 and 135,732.50 is: 278,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.50 : 135,732.50 = 135,732.50 : x
  2. Step 2: Convert to fraction form
    66,106.50/135,732.50 = 135,732.50/x
  3. Step 3: Cross multiply
    66,106.50x = 135,732.50 × 135,732.50
  4. Step 4: Simplify right side
    66,106.50x = 18,423,311,556.25
  5. Step 5: Solve for x
    x = 18,423,311,556.25/66,106.50
  6. Step 6: Final answer
    x = 278,691.38

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Why These Related Problems?

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