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Finding the Third Proportional to 82,038 and 120,753

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Solution

The third proportional to 82,038 and 120,753 is: 177,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,038 : 120,753 = 120,753 : x
  2. Step 2: Convert to fraction form
    82,038/120,753 = 120,753/x
  3. Step 3: Cross multiply
    82,038x = 120,753 × 120,753
  4. Step 4: Simplify right side
    82,038x = 14,581,287,009
  5. Step 5: Solve for x
    x = 14,581,287,009/82,038
  6. Step 6: Final answer
    x = 177,738.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.