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Finding the Third Proportional to 94,261 and 131,856

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Solution

The third proportional to 94,261 and 131,856 is: 184,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,261 : 131,856 = 131,856 : x
  2. Step 2: Convert to fraction form
    94,261/131,856 = 131,856/x
  3. Step 3: Cross multiply
    94,261x = 131,856 × 131,856
  4. Step 4: Simplify right side
    94,261x = 17,386,004,736
  5. Step 5: Solve for x
    x = 17,386,004,736/94,261
  6. Step 6: Final answer
    x = 184,445.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.