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Finding the Third Proportional to 96,136 and 147,846

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Solution

The third proportional to 96,136 and 147,846 is: 227,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,136 : 147,846 = 147,846 : x
  2. Step 2: Convert to fraction form
    96,136/147,846 = 147,846/x
  3. Step 3: Cross multiply
    96,136x = 147,846 × 147,846
  4. Step 4: Simplify right side
    96,136x = 21,858,439,716
  5. Step 5: Solve for x
    x = 21,858,439,716/96,136
  6. Step 6: Final answer
    x = 227,369.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.