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Finding the Third Proportional to 124,316.44 and 191,193.75

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Solution

The third proportional to 124,316.44 and 191,193.75 is: 294,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,316.44 : 191,193.75 = 191,193.75 : x
  2. Step 2: Convert to fraction form
    124,316.44/191,193.75 = 191,193.75/x
  3. Step 3: Cross multiply
    124,316.44x = 191,193.75 × 191,193.75
  4. Step 4: Simplify right side
    124,316.44x = 36,555,050,039.06
  5. Step 5: Solve for x
    x = 36,555,050,039.06/124,316.44
  6. Step 6: Final answer
    x = 294,048.40

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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.