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Finding the Third Proportional to 109,176 and 148,212

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Solution

The third proportional to 109,176 and 148,212 is: 201,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,176 : 148,212 = 148,212 : x
  2. Step 2: Convert to fraction form
    109,176/148,212 = 148,212/x
  3. Step 3: Cross multiply
    109,176x = 148,212 × 148,212
  4. Step 4: Simplify right side
    109,176x = 21,966,796,944
  5. Step 5: Solve for x
    x = 21,966,796,944/109,176
  6. Step 6: Final answer
    x = 201,205.37

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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.