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Finding the Third Proportional to 121,567.50 and 184,025.25

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Solution

The third proportional to 121,567.50 and 184,025.25 is: 278,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567.50 : 184,025.25 = 184,025.25 : x
  2. Step 2: Convert to fraction form
    121,567.50/184,025.25 = 184,025.25/x
  3. Step 3: Cross multiply
    121,567.50x = 184,025.25 × 184,025.25
  4. Step 4: Simplify right side
    121,567.50x = 33,865,292,637.56
  5. Step 5: Solve for x
    x = 33,865,292,637.56/121,567.50
  6. Step 6: Final answer
    x = 278,571.93

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Why These Related Problems?

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