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Finding the Third Proportional to 104,739.19 and 157,074.19

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Solution

The third proportional to 104,739.19 and 157,074.19 is: 235,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,739.19 : 157,074.19 = 157,074.19 : x
  2. Step 2: Convert to fraction form
    104,739.19/157,074.19 = 157,074.19/x
  3. Step 3: Cross multiply
    104,739.19x = 157,074.19 × 157,074.19
  4. Step 4: Simplify right side
    104,739.19x = 24,672,300,378.79
  5. Step 5: Solve for x
    x = 24,672,300,378.79/104,739.19
  6. Step 6: Final answer
    x = 235,559.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.