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Finding the Third Proportional to 81,352 and 175,865

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Solution

The third proportional to 81,352 and 175,865 is: 380,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,352 : 175,865 = 175,865 : x
  2. Step 2: Convert to fraction form
    81,352/175,865 = 175,865/x
  3. Step 3: Cross multiply
    81,352x = 175,865 × 175,865
  4. Step 4: Simplify right side
    81,352x = 30,928,498,225
  5. Step 5: Solve for x
    x = 30,928,498,225/81,352
  6. Step 6: Final answer
    x = 380,181.17

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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.