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Finding the Third Proportional to 73,107.75 and 165,130.50

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Solution

The third proportional to 73,107.75 and 165,130.50 is: 372,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,107.75 : 165,130.50 = 165,130.50 : x
  2. Step 2: Convert to fraction form
    73,107.75/165,130.50 = 165,130.50/x
  3. Step 3: Cross multiply
    73,107.75x = 165,130.50 × 165,130.50
  4. Step 4: Simplify right side
    73,107.75x = 27,268,082,030.25
  5. Step 5: Solve for x
    x = 27,268,082,030.25/73,107.75
  6. Step 6: Final answer
    x = 372,984.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.