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Finding the Third Proportional to 114,918.75 and 237,795.75

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Solution

The third proportional to 114,918.75 and 237,795.75 is: 492,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,918.75 : 237,795.75 = 237,795.75 : x
  2. Step 2: Convert to fraction form
    114,918.75/237,795.75 = 237,795.75/x
  3. Step 3: Cross multiply
    114,918.75x = 237,795.75 × 237,795.75
  4. Step 4: Simplify right side
    114,918.75x = 56,546,818,718.06
  5. Step 5: Solve for x
    x = 56,546,818,718.06/114,918.75
  6. Step 6: Final answer
    x = 492,059.12

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.