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Finding the Third Proportional to 120,391.88 and 178,854.75

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Solution

The third proportional to 120,391.88 and 178,854.75 is: 265,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,391.88 : 178,854.75 = 178,854.75 : x
  2. Step 2: Convert to fraction form
    120,391.88/178,854.75 = 178,854.75/x
  3. Step 3: Cross multiply
    120,391.88x = 178,854.75 × 178,854.75
  4. Step 4: Simplify right side
    120,391.88x = 31,989,021,597.56
  5. Step 5: Solve for x
    x = 31,989,021,597.56/120,391.88
  6. Step 6: Final answer
    x = 265,707.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.