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Finding the Third Proportional to 124,816.50 and 188,817.75

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Solution

The third proportional to 124,816.50 and 188,817.75 is: 285,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,816.50 : 188,817.75 = 188,817.75 : x
  2. Step 2: Convert to fraction form
    124,816.50/188,817.75 = 188,817.75/x
  3. Step 3: Cross multiply
    124,816.50x = 188,817.75 × 188,817.75
  4. Step 4: Simplify right side
    124,816.50x = 35,652,142,715.06
  5. Step 5: Solve for x
    x = 35,652,142,715.06/124,816.50
  6. Step 6: Final answer
    x = 285,636.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.