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Finding the Third Proportional to 117,567 and 168,054

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Solution

The third proportional to 117,567 and 168,054 is: 240,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,567 : 168,054 = 168,054 : x
  2. Step 2: Convert to fraction form
    117,567/168,054 = 168,054/x
  3. Step 3: Cross multiply
    117,567x = 168,054 × 168,054
  4. Step 4: Simplify right side
    117,567x = 28,242,146,916
  5. Step 5: Solve for x
    x = 28,242,146,916/117,567
  6. Step 6: Final answer
    x = 240,221.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.