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Finding the Third Proportional to 81,730 and 175,970

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Solution

The third proportional to 81,730 and 175,970 is: 378,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,730 : 175,970 = 175,970 : x
  2. Step 2: Convert to fraction form
    81,730/175,970 = 175,970/x
  3. Step 3: Cross multiply
    81,730x = 175,970 × 175,970
  4. Step 4: Simplify right side
    81,730x = 30,965,440,900
  5. Step 5: Solve for x
    x = 30,965,440,900/81,730
  6. Step 6: Final answer
    x = 378,874.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.