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Finding the Third Proportional to 112,932 and 165,154

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Solution

The third proportional to 112,932 and 165,154 is: 241,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,932 : 165,154 = 165,154 : x
  2. Step 2: Convert to fraction form
    112,932/165,154 = 165,154/x
  3. Step 3: Cross multiply
    112,932x = 165,154 × 165,154
  4. Step 4: Simplify right side
    112,932x = 27,275,843,716
  5. Step 5: Solve for x
    x = 27,275,843,716/112,932
  6. Step 6: Final answer
    x = 241,524.49

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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.