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Finding the Third Proportional to 121,653 and 193,720.50

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Solution

The third proportional to 121,653 and 193,720.50 is: 308,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,653 : 193,720.50 = 193,720.50 : x
  2. Step 2: Convert to fraction form
    121,653/193,720.50 = 193,720.50/x
  3. Step 3: Cross multiply
    121,653x = 193,720.50 × 193,720.50
  4. Step 4: Simplify right side
    121,653x = 37,527,632,120.25
  5. Step 5: Solve for x
    x = 37,527,632,120.25/121,653
  6. Step 6: Final answer
    x = 308,480.94

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