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Finding the Third Proportional to 82,714.50 and 175,179

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Solution

The third proportional to 82,714.50 and 175,179 is: 371,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.50 : 175,179 = 175,179 : x
  2. Step 2: Convert to fraction form
    82,714.50/175,179 = 175,179/x
  3. Step 3: Cross multiply
    82,714.50x = 175,179 × 175,179
  4. Step 4: Simplify right side
    82,714.50x = 30,687,682,041
  5. Step 5: Solve for x
    x = 30,687,682,041/82,714.50
  6. Step 6: Final answer
    x = 371,007.28

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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.