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Finding the Third Proportional to 66,551 and 100,519.50

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Solution

The third proportional to 66,551 and 100,519.50 is: 151,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,551 : 100,519.50 = 100,519.50 : x
  2. Step 2: Convert to fraction form
    66,551/100,519.50 = 100,519.50/x
  3. Step 3: Cross multiply
    66,551x = 100,519.50 × 100,519.50
  4. Step 4: Simplify right side
    66,551x = 10,104,169,880.25
  5. Step 5: Solve for x
    x = 10,104,169,880.25/66,551
  6. Step 6: Final answer
    x = 151,825.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.