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Finding the Third Proportional to 112,047 and 150,141

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Solution

The third proportional to 112,047 and 150,141 is: 201,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,047 : 150,141 = 150,141 : x
  2. Step 2: Convert to fraction form
    112,047/150,141 = 150,141/x
  3. Step 3: Cross multiply
    112,047x = 150,141 × 150,141
  4. Step 4: Simplify right side
    112,047x = 22,542,319,881
  5. Step 5: Solve for x
    x = 22,542,319,881/112,047
  6. Step 6: Final answer
    x = 201,186.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.