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Finding the Third Proportional to 66,596 and 118,400

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Solution

The third proportional to 66,596 and 118,400 is: 210,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,596 : 118,400 = 118,400 : x
  2. Step 2: Convert to fraction form
    66,596/118,400 = 118,400/x
  3. Step 3: Cross multiply
    66,596x = 118,400 × 118,400
  4. Step 4: Simplify right side
    66,596x = 14,018,560,000
  5. Step 5: Solve for x
    x = 14,018,560,000/66,596
  6. Step 6: Final answer
    x = 210,501.53

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.