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Finding the Third Proportional to 50,294.50 and 93,456.50

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Solution

The third proportional to 50,294.50 and 93,456.50 is: 173,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,294.50 : 93,456.50 = 93,456.50 : x
  2. Step 2: Convert to fraction form
    50,294.50/93,456.50 = 93,456.50/x
  3. Step 3: Cross multiply
    50,294.50x = 93,456.50 × 93,456.50
  4. Step 4: Simplify right side
    50,294.50x = 8,734,117,392.25
  5. Step 5: Solve for x
    x = 8,734,117,392.25/50,294.50
  6. Step 6: Final answer
    x = 173,659.49

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.