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Finding the Third Proportional to 78,015.75 and 167,881.50

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Solution

The third proportional to 78,015.75 and 167,881.50 is: 361,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.75 : 167,881.50 = 167,881.50 : x
  2. Step 2: Convert to fraction form
    78,015.75/167,881.50 = 167,881.50/x
  3. Step 3: Cross multiply
    78,015.75x = 167,881.50 × 167,881.50
  4. Step 4: Simplify right side
    78,015.75x = 28,184,198,042.25
  5. Step 5: Solve for x
    x = 28,184,198,042.25/78,015.75
  6. Step 6: Final answer
    x = 361,262.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.