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Finding the Third Proportional to 80,534 and 181,947

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Solution

The third proportional to 80,534 and 181,947 is: 411,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,534 : 181,947 = 181,947 : x
  2. Step 2: Convert to fraction form
    80,534/181,947 = 181,947/x
  3. Step 3: Cross multiply
    80,534x = 181,947 × 181,947
  4. Step 4: Simplify right side
    80,534x = 33,104,710,809
  5. Step 5: Solve for x
    x = 33,104,710,809/80,534
  6. Step 6: Final answer
    x = 411,065.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.