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Finding the Third Proportional to 89,741.75 and 195,782.50

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Solution

The third proportional to 89,741.75 and 195,782.50 is: 427,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,741.75 : 195,782.50 = 195,782.50 : x
  2. Step 2: Convert to fraction form
    89,741.75/195,782.50 = 195,782.50/x
  3. Step 3: Cross multiply
    89,741.75x = 195,782.50 × 195,782.50
  4. Step 4: Simplify right side
    89,741.75x = 38,330,787,306.25
  5. Step 5: Solve for x
    x = 38,330,787,306.25/89,741.75
  6. Step 6: Final answer
    x = 427,123.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.