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Finding the Third Proportional to 78,922 and 169,054

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Solution

The third proportional to 78,922 and 169,054 is: 362,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,922 : 169,054 = 169,054 : x
  2. Step 2: Convert to fraction form
    78,922/169,054 = 169,054/x
  3. Step 3: Cross multiply
    78,922x = 169,054 × 169,054
  4. Step 4: Simplify right side
    78,922x = 28,579,254,916
  5. Step 5: Solve for x
    x = 28,579,254,916/78,922
  6. Step 6: Final answer
    x = 362,120.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.