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Finding the Third Proportional to 53,325 and 80,392.50

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Solution

The third proportional to 53,325 and 80,392.50 is: 121,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,325 : 80,392.50 = 80,392.50 : x
  2. Step 2: Convert to fraction form
    53,325/80,392.50 = 80,392.50/x
  3. Step 3: Cross multiply
    53,325x = 80,392.50 × 80,392.50
  4. Step 4: Simplify right side
    53,325x = 6,462,954,056.25
  5. Step 5: Solve for x
    x = 6,462,954,056.25/53,325
  6. Step 6: Final answer
    x = 121,199.33

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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.