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Finding the Third Proportional to 112,287.94 and 165,148.88

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Solution

The third proportional to 112,287.94 and 165,148.88 is: 242,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,287.94 : 165,148.88 = 165,148.88 : x
  2. Step 2: Convert to fraction form
    112,287.94/165,148.88 = 165,148.88/x
  3. Step 3: Cross multiply
    112,287.94x = 165,148.88 × 165,148.88
  4. Step 4: Simplify right side
    112,287.94x = 27,274,150,913.77
  5. Step 5: Solve for x
    x = 27,274,150,913.77/112,287.94
  6. Step 6: Final answer
    x = 242,894.75

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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.