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Finding the Third Proportional to 76,843 and 118,672

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Solution

The third proportional to 76,843 and 118,672 is: 183,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843 : 118,672 = 118,672 : x
  2. Step 2: Convert to fraction form
    76,843/118,672 = 118,672/x
  3. Step 3: Cross multiply
    76,843x = 118,672 × 118,672
  4. Step 4: Simplify right side
    76,843x = 14,083,043,584
  5. Step 5: Solve for x
    x = 14,083,043,584/76,843
  6. Step 6: Final answer
    x = 183,270.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.