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Finding the Third Proportional to 118,964 and 158,600

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Solution

The third proportional to 118,964 and 158,600 is: 211,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964 : 158,600 = 158,600 : x
  2. Step 2: Convert to fraction form
    118,964/158,600 = 158,600/x
  3. Step 3: Cross multiply
    118,964x = 158,600 × 158,600
  4. Step 4: Simplify right side
    118,964x = 25,153,960,000
  5. Step 5: Solve for x
    x = 25,153,960,000/118,964
  6. Step 6: Final answer
    x = 211,441.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.