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Finding the Third Proportional to 112,224 and 151,203

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Solution

The third proportional to 112,224 and 151,203 is: 203,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,224 : 151,203 = 151,203 : x
  2. Step 2: Convert to fraction form
    112,224/151,203 = 151,203/x
  3. Step 3: Cross multiply
    112,224x = 151,203 × 151,203
  4. Step 4: Simplify right side
    112,224x = 22,862,347,209
  5. Step 5: Solve for x
    x = 22,862,347,209/112,224
  6. Step 6: Final answer
    x = 203,720.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.