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Finding the Third Proportional to 130,452 and 195,969

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Solution

The third proportional to 130,452 and 195,969 is: 294,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,452 : 195,969 = 195,969 : x
  2. Step 2: Convert to fraction form
    130,452/195,969 = 195,969/x
  3. Step 3: Cross multiply
    130,452x = 195,969 × 195,969
  4. Step 4: Simplify right side
    130,452x = 38,403,848,961
  5. Step 5: Solve for x
    x = 38,403,848,961/130,452
  6. Step 6: Final answer
    x = 294,390.65

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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.