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Finding the Third Proportional to 82,104 and 177,306

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Solution

The third proportional to 82,104 and 177,306 is: 382,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104 : 177,306 = 177,306 : x
  2. Step 2: Convert to fraction form
    82,104/177,306 = 177,306/x
  3. Step 3: Cross multiply
    82,104x = 177,306 × 177,306
  4. Step 4: Simplify right side
    82,104x = 31,437,417,636
  5. Step 5: Solve for x
    x = 31,437,417,636/82,104
  6. Step 6: Final answer
    x = 382,897.52

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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.