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Finding the Third Proportional to 120,273.75 and 193,259.25

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Solution

The third proportional to 120,273.75 and 193,259.25 is: 310,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.75 : 193,259.25 = 193,259.25 : x
  2. Step 2: Convert to fraction form
    120,273.75/193,259.25 = 193,259.25/x
  3. Step 3: Cross multiply
    120,273.75x = 193,259.25 × 193,259.25
  4. Step 4: Simplify right side
    120,273.75x = 37,349,137,710.56
  5. Step 5: Solve for x
    x = 37,349,137,710.56/120,273.75
  6. Step 6: Final answer
    x = 310,534.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.