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Finding the Third Proportional to 112,176 and 152,136

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Solution

The third proportional to 112,176 and 152,136 is: 206,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,176 : 152,136 = 152,136 : x
  2. Step 2: Convert to fraction form
    112,176/152,136 = 152,136/x
  3. Step 3: Cross multiply
    112,176x = 152,136 × 152,136
  4. Step 4: Simplify right side
    112,176x = 23,145,362,496
  5. Step 5: Solve for x
    x = 23,145,362,496/112,176
  6. Step 6: Final answer
    x = 206,330.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.