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Finding the Third Proportional to 94,585.50 and 157,642.75

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Solution

The third proportional to 94,585.50 and 157,642.75 is: 262,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,585.50 : 157,642.75 = 157,642.75 : x
  2. Step 2: Convert to fraction form
    94,585.50/157,642.75 = 157,642.75/x
  3. Step 3: Cross multiply
    94,585.50x = 157,642.75 × 157,642.75
  4. Step 4: Simplify right side
    94,585.50x = 24,851,236,627.56
  5. Step 5: Solve for x
    x = 24,851,236,627.56/94,585.50
  6. Step 6: Final answer
    x = 262,738.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.