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Finding the Third Proportional to 121,635.25 and 193,695.50

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Solution

The third proportional to 121,635.25 and 193,695.50 is: 308,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,635.25 : 193,695.50 = 193,695.50 : x
  2. Step 2: Convert to fraction form
    121,635.25/193,695.50 = 193,695.50/x
  3. Step 3: Cross multiply
    121,635.25x = 193,695.50 × 193,695.50
  4. Step 4: Simplify right side
    121,635.25x = 37,517,946,720.25
  5. Step 5: Solve for x
    x = 37,517,946,720.25/121,635.25
  6. Step 6: Final answer
    x = 308,446.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.