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Finding the Third Proportional to 76,826 and 118,647

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Solution

The third proportional to 76,826 and 118,647 is: 183,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,826 : 118,647 = 118,647 : x
  2. Step 2: Convert to fraction form
    76,826/118,647 = 118,647/x
  3. Step 3: Cross multiply
    76,826x = 118,647 × 118,647
  4. Step 4: Simplify right side
    76,826x = 14,077,110,609
  5. Step 5: Solve for x
    x = 14,077,110,609/76,826
  6. Step 6: Final answer
    x = 183,233.68

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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.