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Finding the Third Proportional to 68,094.50 and 112,536.75

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Solution

The third proportional to 68,094.50 and 112,536.75 is: 185,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,094.50 : 112,536.75 = 112,536.75 : x
  2. Step 2: Convert to fraction form
    68,094.50/112,536.75 = 112,536.75/x
  3. Step 3: Cross multiply
    68,094.50x = 112,536.75 × 112,536.75
  4. Step 4: Simplify right side
    68,094.50x = 12,664,520,100.56
  5. Step 5: Solve for x
    x = 12,664,520,100.56/68,094.50
  6. Step 6: Final answer
    x = 185,984.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.