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Finding the Third Proportional to 50,071.50 and 116,430.75

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Solution

The third proportional to 50,071.50 and 116,430.75 is: 270,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071.50 : 116,430.75 = 116,430.75 : x
  2. Step 2: Convert to fraction form
    50,071.50/116,430.75 = 116,430.75/x
  3. Step 3: Cross multiply
    50,071.50x = 116,430.75 × 116,430.75
  4. Step 4: Simplify right side
    50,071.50x = 13,556,119,545.56
  5. Step 5: Solve for x
    x = 13,556,119,545.56/50,071.50
  6. Step 6: Final answer
    x = 270,735.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.