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Finding the Third Proportional to 116,698.50 and 165,138.75

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Solution

The third proportional to 116,698.50 and 165,138.75 is: 233,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,698.50 : 165,138.75 = 165,138.75 : x
  2. Step 2: Convert to fraction form
    116,698.50/165,138.75 = 165,138.75/x
  3. Step 3: Cross multiply
    116,698.50x = 165,138.75 × 165,138.75
  4. Step 4: Simplify right side
    116,698.50x = 27,270,806,751.56
  5. Step 5: Solve for x
    x = 27,270,806,751.56/116,698.50
  6. Step 6: Final answer
    x = 233,686.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.