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Finding the Third Proportional to 118,948.50 and 184,092.75

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Solution

The third proportional to 118,948.50 and 184,092.75 is: 284,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,948.50 : 184,092.75 = 184,092.75 : x
  2. Step 2: Convert to fraction form
    118,948.50/184,092.75 = 184,092.75/x
  3. Step 3: Cross multiply
    118,948.50x = 184,092.75 × 184,092.75
  4. Step 4: Simplify right side
    118,948.50x = 33,890,140,602.56
  5. Step 5: Solve for x
    x = 33,890,140,602.56/118,948.50
  6. Step 6: Final answer
    x = 284,914.40

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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.