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Finding the Third Proportional to 66,524.50 and 142,891.50

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Solution

The third proportional to 66,524.50 and 142,891.50 is: 306,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,524.50 : 142,891.50 = 142,891.50 : x
  2. Step 2: Convert to fraction form
    66,524.50/142,891.50 = 142,891.50/x
  3. Step 3: Cross multiply
    66,524.50x = 142,891.50 × 142,891.50
  4. Step 4: Simplify right side
    66,524.50x = 20,417,980,772.25
  5. Step 5: Solve for x
    x = 20,417,980,772.25/66,524.50
  6. Step 6: Final answer
    x = 306,924.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.