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Finding the Third Proportional to 66,807 and 136,336.50

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Solution

The third proportional to 66,807 and 136,336.50 is: 278,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,807 : 136,336.50 = 136,336.50 : x
  2. Step 2: Convert to fraction form
    66,807/136,336.50 = 136,336.50/x
  3. Step 3: Cross multiply
    66,807x = 136,336.50 × 136,336.50
  4. Step 4: Simplify right side
    66,807x = 18,587,641,232.25
  5. Step 5: Solve for x
    x = 18,587,641,232.25/66,807
  6. Step 6: Final answer
    x = 278,228.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.