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Finding the Third Proportional to 80,613 and 170,946

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Solution

The third proportional to 80,613 and 170,946 is: 362,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,613 : 170,946 = 170,946 : x
  2. Step 2: Convert to fraction form
    80,613/170,946 = 170,946/x
  3. Step 3: Cross multiply
    80,613x = 170,946 × 170,946
  4. Step 4: Simplify right side
    80,613x = 29,222,534,916
  5. Step 5: Solve for x
    x = 29,222,534,916/80,613
  6. Step 6: Final answer
    x = 362,504.00

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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.