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Finding the Third Proportional to 129,456 and 174,903.75

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Solution

The third proportional to 129,456 and 174,903.75 is: 236,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,456 : 174,903.75 = 174,903.75 : x
  2. Step 2: Convert to fraction form
    129,456/174,903.75 = 174,903.75/x
  3. Step 3: Cross multiply
    129,456x = 174,903.75 × 174,903.75
  4. Step 4: Simplify right side
    129,456x = 30,591,321,764.06
  5. Step 5: Solve for x
    x = 30,591,321,764.06/129,456
  6. Step 6: Final answer
    x = 236,306.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.