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Finding the Third Proportional to 121,119.75 and 282,903.75

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Solution

The third proportional to 121,119.75 and 282,903.75 is: 660,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,119.75 : 282,903.75 = 282,903.75 : x
  2. Step 2: Convert to fraction form
    121,119.75/282,903.75 = 282,903.75/x
  3. Step 3: Cross multiply
    121,119.75x = 282,903.75 × 282,903.75
  4. Step 4: Simplify right side
    121,119.75x = 80,034,531,764.06
  5. Step 5: Solve for x
    x = 80,034,531,764.06/121,119.75
  6. Step 6: Final answer
    x = 660,788.45

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.