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Finding the Third Proportional to 95,683 and 136,964

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Solution

The third proportional to 95,683 and 136,964 is: 196,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,683 : 136,964 = 136,964 : x
  2. Step 2: Convert to fraction form
    95,683/136,964 = 136,964/x
  3. Step 3: Cross multiply
    95,683x = 136,964 × 136,964
  4. Step 4: Simplify right side
    95,683x = 18,759,137,296
  5. Step 5: Solve for x
    x = 18,759,137,296/95,683
  6. Step 6: Final answer
    x = 196,055.07

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Why These Related Problems?

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