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Finding the Third Proportional to 52,530 and 78,610

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Solution

The third proportional to 52,530 and 78,610 is: 117,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,530 : 78,610 = 78,610 : x
  2. Step 2: Convert to fraction form
    52,530/78,610 = 78,610/x
  3. Step 3: Cross multiply
    52,530x = 78,610 × 78,610
  4. Step 4: Simplify right side
    52,530x = 6,179,532,100
  5. Step 5: Solve for x
    x = 6,179,532,100/52,530
  6. Step 6: Final answer
    x = 117,638.15

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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.