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Finding the Third Proportional to 75,954.75 and 163,597.50

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Solution

The third proportional to 75,954.75 and 163,597.50 is: 352,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.75 : 163,597.50 = 163,597.50 : x
  2. Step 2: Convert to fraction form
    75,954.75/163,597.50 = 163,597.50/x
  3. Step 3: Cross multiply
    75,954.75x = 163,597.50 × 163,597.50
  4. Step 4: Simplify right side
    75,954.75x = 26,764,142,006.25
  5. Step 5: Solve for x
    x = 26,764,142,006.25/75,954.75
  6. Step 6: Final answer
    x = 352,369.56

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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.