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Finding the Third Proportional to 100,232 and 134,148

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Solution

The third proportional to 100,232 and 134,148 is: 179,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232 : 134,148 = 134,148 : x
  2. Step 2: Convert to fraction form
    100,232/134,148 = 134,148/x
  3. Step 3: Cross multiply
    100,232x = 134,148 × 134,148
  4. Step 4: Simplify right side
    100,232x = 17,995,685,904
  5. Step 5: Solve for x
    x = 17,995,685,904/100,232
  6. Step 6: Final answer
    x = 179,540.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.