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Finding the Third Proportional to 84,787.50 and 184,153.50

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Solution

The third proportional to 84,787.50 and 184,153.50 is: 399,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,787.50 : 184,153.50 = 184,153.50 : x
  2. Step 2: Convert to fraction form
    84,787.50/184,153.50 = 184,153.50/x
  3. Step 3: Cross multiply
    84,787.50x = 184,153.50 × 184,153.50
  4. Step 4: Simplify right side
    84,787.50x = 33,912,511,562.25
  5. Step 5: Solve for x
    x = 33,912,511,562.25/84,787.50
  6. Step 6: Final answer
    x = 399,970.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.