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Finding the Third Proportional to 117,796 and 181,986

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Solution

The third proportional to 117,796 and 181,986 is: 281,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,796 : 181,986 = 181,986 : x
  2. Step 2: Convert to fraction form
    117,796/181,986 = 181,986/x
  3. Step 3: Cross multiply
    117,796x = 181,986 × 181,986
  4. Step 4: Simplify right side
    117,796x = 33,118,904,196
  5. Step 5: Solve for x
    x = 33,118,904,196/117,796
  6. Step 6: Final answer
    x = 281,154.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.