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Finding the Third Proportional to 52,522 and 78,821

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Solution

The third proportional to 52,522 and 78,821 is: 118,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522 : 78,821 = 78,821 : x
  2. Step 2: Convert to fraction form
    52,522/78,821 = 78,821/x
  3. Step 3: Cross multiply
    52,522x = 78,821 × 78,821
  4. Step 4: Simplify right side
    52,522x = 6,212,750,041
  5. Step 5: Solve for x
    x = 6,212,750,041/52,522
  6. Step 6: Final answer
    x = 118,288.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.