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Finding the Third Proportional to 86,614.50 and 180,112.50

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Solution

The third proportional to 86,614.50 and 180,112.50 is: 374,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,614.50 : 180,112.50 = 180,112.50 : x
  2. Step 2: Convert to fraction form
    86,614.50/180,112.50 = 180,112.50/x
  3. Step 3: Cross multiply
    86,614.50x = 180,112.50 × 180,112.50
  4. Step 4: Simplify right side
    86,614.50x = 32,440,512,656.25
  5. Step 5: Solve for x
    x = 32,440,512,656.25/86,614.50
  6. Step 6: Final answer
    x = 374,539.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.