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Finding the Third Proportional to 121,988.25 and 184,683.75

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Solution

The third proportional to 121,988.25 and 184,683.75 is: 279,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,988.25 : 184,683.75 = 184,683.75 : x
  2. Step 2: Convert to fraction form
    121,988.25/184,683.75 = 184,683.75/x
  3. Step 3: Cross multiply
    121,988.25x = 184,683.75 × 184,683.75
  4. Step 4: Simplify right side
    121,988.25x = 34,108,087,514.06
  5. Step 5: Solve for x
    x = 34,108,087,514.06/121,988.25
  6. Step 6: Final answer
    x = 279,601.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.