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Finding the Third Proportional to 112,240.69 and 165,079.69

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Solution

The third proportional to 112,240.69 and 165,079.69 is: 242,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,240.69 : 165,079.69 = 165,079.69 : x
  2. Step 2: Convert to fraction form
    112,240.69/165,079.69 = 165,079.69/x
  3. Step 3: Cross multiply
    112,240.69x = 165,079.69 × 165,079.69
  4. Step 4: Simplify right side
    112,240.69x = 27,251,303,225.10
  5. Step 5: Solve for x
    x = 27,251,303,225.10/112,240.69
  6. Step 6: Final answer
    x = 242,793.45

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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.