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Finding the Third Proportional to 88,406 and 181,996

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Solution

The third proportional to 88,406 and 181,996 is: 374,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,406 : 181,996 = 181,996 : x
  2. Step 2: Convert to fraction form
    88,406/181,996 = 181,996/x
  3. Step 3: Cross multiply
    88,406x = 181,996 × 181,996
  4. Step 4: Simplify right side
    88,406x = 33,122,544,016
  5. Step 5: Solve for x
    x = 33,122,544,016/88,406
  6. Step 6: Final answer
    x = 374,663.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.