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Finding the Third Proportional to 52,015.50 and 78,390

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Solution

The third proportional to 52,015.50 and 78,390 is: 118,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,015.50 : 78,390 = 78,390 : x
  2. Step 2: Convert to fraction form
    52,015.50/78,390 = 78,390/x
  3. Step 3: Cross multiply
    52,015.50x = 78,390 × 78,390
  4. Step 4: Simplify right side
    52,015.50x = 6,144,992,100
  5. Step 5: Solve for x
    x = 6,144,992,100/52,015.50
  6. Step 6: Final answer
    x = 118,137.71

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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.