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Finding the Third Proportional to 79,232 and 174,014

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Solution

The third proportional to 79,232 and 174,014 is: 382,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,232 : 174,014 = 174,014 : x
  2. Step 2: Convert to fraction form
    79,232/174,014 = 174,014/x
  3. Step 3: Cross multiply
    79,232x = 174,014 × 174,014
  4. Step 4: Simplify right side
    79,232x = 30,280,872,196
  5. Step 5: Solve for x
    x = 30,280,872,196/79,232
  6. Step 6: Final answer
    x = 382,179.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.