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Finding the Third Proportional to 76,274 and 118,101

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Solution

The third proportional to 76,274 and 118,101 is: 182,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,274 : 118,101 = 118,101 : x
  2. Step 2: Convert to fraction form
    76,274/118,101 = 118,101/x
  3. Step 3: Cross multiply
    76,274x = 118,101 × 118,101
  4. Step 4: Simplify right side
    76,274x = 13,947,846,201
  5. Step 5: Solve for x
    x = 13,947,846,201/76,274
  6. Step 6: Final answer
    x = 182,865.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.