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Finding the Third Proportional to 76,927 and 118,083

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Solution

The third proportional to 76,927 and 118,083 is: 181,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,927 : 118,083 = 118,083 : x
  2. Step 2: Convert to fraction form
    76,927/118,083 = 118,083/x
  3. Step 3: Cross multiply
    76,927x = 118,083 × 118,083
  4. Step 4: Simplify right side
    76,927x = 13,943,594,889
  5. Step 5: Solve for x
    x = 13,943,594,889/76,927
  6. Step 6: Final answer
    x = 181,257.49

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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.