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Finding the Third Proportional to 123,630.75 and 191,278.50

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Solution

The third proportional to 123,630.75 and 191,278.50 is: 295,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,630.75 : 191,278.50 = 191,278.50 : x
  2. Step 2: Convert to fraction form
    123,630.75/191,278.50 = 191,278.50/x
  3. Step 3: Cross multiply
    123,630.75x = 191,278.50 × 191,278.50
  4. Step 4: Simplify right side
    123,630.75x = 36,587,464,562.25
  5. Step 5: Solve for x
    x = 36,587,464,562.25/123,630.75
  6. Step 6: Final answer
    x = 295,941.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.