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Finding the Third Proportional to 80,580 and 174,120

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Solution

The third proportional to 80,580 and 174,120 is: 376,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580 : 174,120 = 174,120 : x
  2. Step 2: Convert to fraction form
    80,580/174,120 = 174,120/x
  3. Step 3: Cross multiply
    80,580x = 174,120 × 174,120
  4. Step 4: Simplify right side
    80,580x = 30,317,774,400
  5. Step 5: Solve for x
    x = 30,317,774,400/80,580
  6. Step 6: Final answer
    x = 376,244.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.