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Finding the Third Proportional to 116,604 and 165,132.75

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Solution

The third proportional to 116,604 and 165,132.75 is: 233,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,604 : 165,132.75 = 165,132.75 : x
  2. Step 2: Convert to fraction form
    116,604/165,132.75 = 165,132.75/x
  3. Step 3: Cross multiply
    116,604x = 165,132.75 × 165,132.75
  4. Step 4: Simplify right side
    116,604x = 27,268,825,122.56
  5. Step 5: Solve for x
    x = 27,268,825,122.56/116,604
  6. Step 6: Final answer
    x = 233,858.40

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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.