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Finding the Third Proportional to 111,006 and 181,232

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Solution

The third proportional to 111,006 and 181,232 is: 295,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,006 : 181,232 = 181,232 : x
  2. Step 2: Convert to fraction form
    111,006/181,232 = 181,232/x
  3. Step 3: Cross multiply
    111,006x = 181,232 × 181,232
  4. Step 4: Simplify right side
    111,006x = 32,845,037,824
  5. Step 5: Solve for x
    x = 32,845,037,824/111,006
  6. Step 6: Final answer
    x = 295,885.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.