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Finding the Third Proportional to 130,619.25 and 195,422.63

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Solution

The third proportional to 130,619.25 and 195,422.63 is: 292,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,619.25 : 195,422.63 = 195,422.63 : x
  2. Step 2: Convert to fraction form
    130,619.25/195,422.63 = 195,422.63/x
  3. Step 3: Cross multiply
    130,619.25x = 195,422.63 × 195,422.63
  4. Step 4: Simplify right side
    130,619.25x = 38,190,002,361.89
  5. Step 5: Solve for x
    x = 38,190,002,361.89/130,619.25
  6. Step 6: Final answer
    x = 292,376.52

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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.