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Finding the Third Proportional to 95,969 and 141,145

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Solution

The third proportional to 95,969 and 141,145 is: 207,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,969 : 141,145 = 141,145 : x
  2. Step 2: Convert to fraction form
    95,969/141,145 = 141,145/x
  3. Step 3: Cross multiply
    95,969x = 141,145 × 141,145
  4. Step 4: Simplify right side
    95,969x = 19,921,911,025
  5. Step 5: Solve for x
    x = 19,921,911,025/95,969
  6. Step 6: Final answer
    x = 207,586.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.