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Finding the Third Proportional to 112,936 and 165,160

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Solution

The third proportional to 112,936 and 165,160 is: 241,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,936 : 165,160 = 165,160 : x
  2. Step 2: Convert to fraction form
    112,936/165,160 = 165,160/x
  3. Step 3: Cross multiply
    112,936x = 165,160 × 165,160
  4. Step 4: Simplify right side
    112,936x = 27,277,825,600
  5. Step 5: Solve for x
    x = 27,277,825,600/112,936
  6. Step 6: Final answer
    x = 241,533.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.