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Finding the Third Proportional to 100,959.75 and 158,385.38

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Solution

The third proportional to 100,959.75 and 158,385.38 is: 248,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959.75 : 158,385.38 = 158,385.38 : x
  2. Step 2: Convert to fraction form
    100,959.75/158,385.38 = 158,385.38/x
  3. Step 3: Cross multiply
    100,959.75x = 158,385.38 × 158,385.38
  4. Step 4: Simplify right side
    100,959.75x = 25,085,927,013.89
  5. Step 5: Solve for x
    x = 25,085,927,013.89/100,959.75
  6. Step 6: Final answer
    x = 248,474.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.