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Finding the Third Proportional to 119,309.25 and 174,951.75

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Solution

The third proportional to 119,309.25 and 174,951.75 is: 256,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,309.25 : 174,951.75 = 174,951.75 : x
  2. Step 2: Convert to fraction form
    119,309.25/174,951.75 = 174,951.75/x
  3. Step 3: Cross multiply
    119,309.25x = 174,951.75 × 174,951.75
  4. Step 4: Simplify right side
    119,309.25x = 30,608,114,828.06
  5. Step 5: Solve for x
    x = 30,608,114,828.06/119,309.25
  6. Step 6: Final answer
    x = 256,544.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.