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Finding the Third Proportional to 118,708 and 183,562

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Solution

The third proportional to 118,708 and 183,562 is: 283,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,708 : 183,562 = 183,562 : x
  2. Step 2: Convert to fraction form
    118,708/183,562 = 183,562/x
  3. Step 3: Cross multiply
    118,708x = 183,562 × 183,562
  4. Step 4: Simplify right side
    118,708x = 33,695,007,844
  5. Step 5: Solve for x
    x = 33,695,007,844/118,708
  6. Step 6: Final answer
    x = 283,847.83

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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.