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Finding the Third Proportional to 121,506.75 and 189,267.75

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Solution

The third proportional to 121,506.75 and 189,267.75 is: 294,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,506.75 : 189,267.75 = 189,267.75 : x
  2. Step 2: Convert to fraction form
    121,506.75/189,267.75 = 189,267.75/x
  3. Step 3: Cross multiply
    121,506.75x = 189,267.75 × 189,267.75
  4. Step 4: Simplify right side
    121,506.75x = 35,822,281,190.06
  5. Step 5: Solve for x
    x = 35,822,281,190.06/121,506.75
  6. Step 6: Final answer
    x = 294,817.21

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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.