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Finding the Third Proportional to 96,643 and 136,094

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Solution

The third proportional to 96,643 and 136,094 is: 191,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643 : 136,094 = 136,094 : x
  2. Step 2: Convert to fraction form
    96,643/136,094 = 136,094/x
  3. Step 3: Cross multiply
    96,643x = 136,094 × 136,094
  4. Step 4: Simplify right side
    96,643x = 18,521,576,836
  5. Step 5: Solve for x
    x = 18,521,576,836/96,643
  6. Step 6: Final answer
    x = 191,649.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.