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Finding the Third Proportional to 50,092.50 and 78,012

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Solution

The third proportional to 50,092.50 and 78,012 is: 121,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,092.50 : 78,012 = 78,012 : x
  2. Step 2: Convert to fraction form
    50,092.50/78,012 = 78,012/x
  3. Step 3: Cross multiply
    50,092.50x = 78,012 × 78,012
  4. Step 4: Simplify right side
    50,092.50x = 6,085,872,144
  5. Step 5: Solve for x
    x = 6,085,872,144/50,092.50
  6. Step 6: Final answer
    x = 121,492.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.