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Finding the Third Proportional to 95,685 and 136,965

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Solution

The third proportional to 95,685 and 136,965 is: 196,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,685 : 136,965 = 136,965 : x
  2. Step 2: Convert to fraction form
    95,685/136,965 = 136,965/x
  3. Step 3: Cross multiply
    95,685x = 136,965 × 136,965
  4. Step 4: Simplify right side
    95,685x = 18,759,411,225
  5. Step 5: Solve for x
    x = 18,759,411,225/95,685
  6. Step 6: Final answer
    x = 196,053.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.