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Finding the Third Proportional to 118,112 and 183,000

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Solution

The third proportional to 118,112 and 183,000 is: 283,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,112 : 183,000 = 183,000 : x
  2. Step 2: Convert to fraction form
    118,112/183,000 = 183,000/x
  3. Step 3: Cross multiply
    118,112x = 183,000 × 183,000
  4. Step 4: Simplify right side
    118,112x = 33,489,000,000
  5. Step 5: Solve for x
    x = 33,489,000,000/118,112
  6. Step 6: Final answer
    x = 283,535.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.