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Finding the Third Proportional to 118,655 and 183,775

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Solution

The third proportional to 118,655 and 183,775 is: 284,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,655 : 183,775 = 183,775 : x
  2. Step 2: Convert to fraction form
    118,655/183,775 = 183,775/x
  3. Step 3: Cross multiply
    118,655x = 183,775 × 183,775
  4. Step 4: Simplify right side
    118,655x = 33,773,250,625
  5. Step 5: Solve for x
    x = 33,773,250,625/118,655
  6. Step 6: Final answer
    x = 284,634.03

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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.