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Finding the Third Proportional to 117,249 and 181,788

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Solution

The third proportional to 117,249 and 181,788 is: 281,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,249 : 181,788 = 181,788 : x
  2. Step 2: Convert to fraction form
    117,249/181,788 = 181,788/x
  3. Step 3: Cross multiply
    117,249x = 181,788 × 181,788
  4. Step 4: Simplify right side
    117,249x = 33,046,876,944
  5. Step 5: Solve for x
    x = 33,046,876,944/117,249
  6. Step 6: Final answer
    x = 281,852.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.