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Finding the Third Proportional to 124,316.50 and 191,194

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Solution

The third proportional to 124,316.50 and 191,194 is: 294,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,316.50 : 191,194 = 191,194 : x
  2. Step 2: Convert to fraction form
    124,316.50/191,194 = 191,194/x
  3. Step 3: Cross multiply
    124,316.50x = 191,194 × 191,194
  4. Step 4: Simplify right side
    124,316.50x = 36,555,145,636
  5. Step 5: Solve for x
    x = 36,555,145,636/124,316.50
  6. Step 6: Final answer
    x = 294,049.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.