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Finding the Third Proportional to 100,953.56 and 158,388.47

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Solution

The third proportional to 100,953.56 and 158,388.47 is: 248,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,953.56 : 158,388.47 = 158,388.47 : x
  2. Step 2: Convert to fraction form
    100,953.56/158,388.47 = 158,388.47/x
  3. Step 3: Cross multiply
    100,953.56x = 158,388.47 × 158,388.47
  4. Step 4: Simplify right side
    100,953.56x = 25,086,907,032.97
  5. Step 5: Solve for x
    x = 25,086,907,032.97/100,953.56
  6. Step 6: Final answer
    x = 248,499.47

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Why These Related Problems?

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