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Finding the Third Proportional to 78,052 and 184,189

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Solution

The third proportional to 78,052 and 184,189 is: 434,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052 : 184,189 = 184,189 : x
  2. Step 2: Convert to fraction form
    78,052/184,189 = 184,189/x
  3. Step 3: Cross multiply
    78,052x = 184,189 × 184,189
  4. Step 4: Simplify right side
    78,052x = 33,925,587,721
  5. Step 5: Solve for x
    x = 33,925,587,721/78,052
  6. Step 6: Final answer
    x = 434,653.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.