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Finding the Third Proportional to 95,285.50 and 201,142

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Solution

The third proportional to 95,285.50 and 201,142 is: 424,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,285.50 : 201,142 = 201,142 : x
  2. Step 2: Convert to fraction form
    95,285.50/201,142 = 201,142/x
  3. Step 3: Cross multiply
    95,285.50x = 201,142 × 201,142
  4. Step 4: Simplify right side
    95,285.50x = 40,458,104,164
  5. Step 5: Solve for x
    x = 40,458,104,164/95,285.50
  6. Step 6: Final answer
    x = 424,598.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.