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Finding the Third Proportional to 95,904 and 146,773.50

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Solution

The third proportional to 95,904 and 146,773.50 is: 224,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,904 : 146,773.50 = 146,773.50 : x
  2. Step 2: Convert to fraction form
    95,904/146,773.50 = 146,773.50/x
  3. Step 3: Cross multiply
    95,904x = 146,773.50 × 146,773.50
  4. Step 4: Simplify right side
    95,904x = 21,542,460,302.25
  5. Step 5: Solve for x
    x = 21,542,460,302.25/95,904
  6. Step 6: Final answer
    x = 224,625.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.