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Finding the Third Proportional to 76,092 and 118,282.31

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Solution

The third proportional to 76,092 and 118,282.31 is: 183,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,092 : 118,282.31 = 118,282.31 : x
  2. Step 2: Convert to fraction form
    76,092/118,282.31 = 118,282.31/x
  3. Step 3: Cross multiply
    76,092x = 118,282.31 × 118,282.31
  4. Step 4: Simplify right side
    76,092x = 13,990,705,450.35
  5. Step 5: Solve for x
    x = 13,990,705,450.35/76,092
  6. Step 6: Final answer
    x = 183,865.66

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