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Finding the Third Proportional to 120,063 and 173,895.75

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Solution

The third proportional to 120,063 and 173,895.75 is: 251,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,063 : 173,895.75 = 173,895.75 : x
  2. Step 2: Convert to fraction form
    120,063/173,895.75 = 173,895.75/x
  3. Step 3: Cross multiply
    120,063x = 173,895.75 × 173,895.75
  4. Step 4: Simplify right side
    120,063x = 30,239,731,868.06
  5. Step 5: Solve for x
    x = 30,239,731,868.06/120,063
  6. Step 6: Final answer
    x = 251,865.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.