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Finding the Third Proportional to 123,810.75 and 196,950

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Solution

The third proportional to 123,810.75 and 196,950 is: 313,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,810.75 : 196,950 = 196,950 : x
  2. Step 2: Convert to fraction form
    123,810.75/196,950 = 196,950/x
  3. Step 3: Cross multiply
    123,810.75x = 196,950 × 196,950
  4. Step 4: Simplify right side
    123,810.75x = 38,789,302,500
  5. Step 5: Solve for x
    x = 38,789,302,500/123,810.75
  6. Step 6: Final answer
    x = 313,295.11

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.