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Finding the Third Proportional to 112,284.75 and 165,141.75

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Solution

The third proportional to 112,284.75 and 165,141.75 is: 242,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,284.75 : 165,141.75 = 165,141.75 : x
  2. Step 2: Convert to fraction form
    112,284.75/165,141.75 = 165,141.75/x
  3. Step 3: Cross multiply
    112,284.75x = 165,141.75 × 165,141.75
  4. Step 4: Simplify right side
    112,284.75x = 27,271,797,593.06
  5. Step 5: Solve for x
    x = 27,271,797,593.06/112,284.75
  6. Step 6: Final answer
    x = 242,880.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.