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Finding the Third Proportional to 76,168.50 and 165,048.94

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Solution

The third proportional to 76,168.50 and 165,048.94 is: 357,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,168.50 : 165,048.94 = 165,048.94 : x
  2. Step 2: Convert to fraction form
    76,168.50/165,048.94 = 165,048.94/x
  3. Step 3: Cross multiply
    76,168.50x = 165,048.94 × 165,048.94
  4. Step 4: Simplify right side
    76,168.50x = 27,241,151,769.88
  5. Step 5: Solve for x
    x = 27,241,151,769.88/76,168.50
  6. Step 6: Final answer
    x = 357,643.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.