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Finding the Third Proportional to 100,959 and 158,396

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Solution

The third proportional to 100,959 and 158,396 is: 248,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,959 : 158,396 = 158,396 : x
  2. Step 2: Convert to fraction form
    100,959/158,396 = 158,396/x
  3. Step 3: Cross multiply
    100,959x = 158,396 × 158,396
  4. Step 4: Simplify right side
    100,959x = 25,089,292,816
  5. Step 5: Solve for x
    x = 25,089,292,816/100,959
  6. Step 6: Final answer
    x = 248,509.72

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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.