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Finding the Third Proportional to 42,050 and 65,100

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Solution

The third proportional to 42,050 and 65,100 is: 100,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,050 : 65,100 = 65,100 : x
  2. Step 2: Convert to fraction form
    42,050/65,100 = 65,100/x
  3. Step 3: Cross multiply
    42,050x = 65,100 × 65,100
  4. Step 4: Simplify right side
    42,050x = 4,238,010,000
  5. Step 5: Solve for x
    x = 4,238,010,000/42,050
  6. Step 6: Final answer
    x = 100,785.02

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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.