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Finding the Third Proportional to 82,829 and 110,355

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Solution

The third proportional to 82,829 and 110,355 is: 147,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,829 : 110,355 = 110,355 : x
  2. Step 2: Convert to fraction form
    82,829/110,355 = 110,355/x
  3. Step 3: Cross multiply
    82,829x = 110,355 × 110,355
  4. Step 4: Simplify right side
    82,829x = 12,178,226,025
  5. Step 5: Solve for x
    x = 12,178,226,025/82,829
  6. Step 6: Final answer
    x = 147,028.53

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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.