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Finding the Third Proportional to 109,074.75 and 160,020.75

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Solution

The third proportional to 109,074.75 and 160,020.75 is: 234,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,074.75 : 160,020.75 = 160,020.75 : x
  2. Step 2: Convert to fraction form
    109,074.75/160,020.75 = 160,020.75/x
  3. Step 3: Cross multiply
    109,074.75x = 160,020.75 × 160,020.75
  4. Step 4: Simplify right side
    109,074.75x = 25,606,640,430.56
  5. Step 5: Solve for x
    x = 25,606,640,430.56/109,074.75
  6. Step 6: Final answer
    x = 234,762.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.