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Finding the Third Proportional to 50,529.50 and 78,459.75

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Solution

The third proportional to 50,529.50 and 78,459.75 is: 121,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,529.50 : 78,459.75 = 78,459.75 : x
  2. Step 2: Convert to fraction form
    50,529.50/78,459.75 = 78,459.75/x
  3. Step 3: Cross multiply
    50,529.50x = 78,459.75 × 78,459.75
  4. Step 4: Simplify right side
    50,529.50x = 6,155,932,370.06
  5. Step 5: Solve for x
    x = 6,155,932,370.06/50,529.50
  6. Step 6: Final answer
    x = 121,828.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.