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Finding the Third Proportional to 123,909.75 and 196,935.75

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Solution

The third proportional to 123,909.75 and 196,935.75 is: 312,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,909.75 : 196,935.75 = 196,935.75 : x
  2. Step 2: Convert to fraction form
    123,909.75/196,935.75 = 196,935.75/x
  3. Step 3: Cross multiply
    123,909.75x = 196,935.75 × 196,935.75
  4. Step 4: Simplify right side
    123,909.75x = 38,783,689,628.06
  5. Step 5: Solve for x
    x = 38,783,689,628.06/123,909.75
  6. Step 6: Final answer
    x = 312,999.50

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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.