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Finding the Third Proportional to 117,925 and 254,531

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Solution

The third proportional to 117,925 and 254,531 is: 549,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,925 : 254,531 = 254,531 : x
  2. Step 2: Convert to fraction form
    117,925/254,531 = 254,531/x
  3. Step 3: Cross multiply
    117,925x = 254,531 × 254,531
  4. Step 4: Simplify right side
    117,925x = 64,786,029,961
  5. Step 5: Solve for x
    x = 64,786,029,961/117,925
  6. Step 6: Final answer
    x = 549,383.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.