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Finding the Third Proportional to 79,772 and 174,033

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Solution

The third proportional to 79,772 and 174,033 is: 379,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,772 : 174,033 = 174,033 : x
  2. Step 2: Convert to fraction form
    79,772/174,033 = 174,033/x
  3. Step 3: Cross multiply
    79,772x = 174,033 × 174,033
  4. Step 4: Simplify right side
    79,772x = 30,287,485,089
  5. Step 5: Solve for x
    x = 30,287,485,089/79,772
  6. Step 6: Final answer
    x = 379,675.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.