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Finding the Third Proportional to 77,550.75 and 164,328.75

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Solution

The third proportional to 77,550.75 and 164,328.75 is: 348,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,550.75 : 164,328.75 = 164,328.75 : x
  2. Step 2: Convert to fraction form
    77,550.75/164,328.75 = 164,328.75/x
  3. Step 3: Cross multiply
    77,550.75x = 164,328.75 × 164,328.75
  4. Step 4: Simplify right side
    77,550.75x = 27,003,938,076.56
  5. Step 5: Solve for x
    x = 27,003,938,076.56/77,550.75
  6. Step 6: Final answer
    x = 348,209.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.