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Finding the Third Proportional to 84,157.50 and 184,152

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Solution

The third proportional to 84,157.50 and 184,152 is: 402,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,157.50 : 184,152 = 184,152 : x
  2. Step 2: Convert to fraction form
    84,157.50/184,152 = 184,152/x
  3. Step 3: Cross multiply
    84,157.50x = 184,152 × 184,152
  4. Step 4: Simplify right side
    84,157.50x = 33,911,959,104
  5. Step 5: Solve for x
    x = 33,911,959,104/84,157.50
  6. Step 6: Final answer
    x = 402,958.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.