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Finding the Third Proportional to 82,827 and 110,352

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Solution

The third proportional to 82,827 and 110,352 is: 147,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827 : 110,352 = 110,352 : x
  2. Step 2: Convert to fraction form
    82,827/110,352 = 110,352/x
  3. Step 3: Cross multiply
    82,827x = 110,352 × 110,352
  4. Step 4: Simplify right side
    82,827x = 12,177,563,904
  5. Step 5: Solve for x
    x = 12,177,563,904/82,827
  6. Step 6: Final answer
    x = 147,024.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.