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Finding the Third Proportional to 58,852 and 120,802

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Solution

The third proportional to 58,852 and 120,802 is: 247,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,852 : 120,802 = 120,802 : x
  2. Step 2: Convert to fraction form
    58,852/120,802 = 120,802/x
  3. Step 3: Cross multiply
    58,852x = 120,802 × 120,802
  4. Step 4: Simplify right side
    58,852x = 14,593,123,204
  5. Step 5: Solve for x
    x = 14,593,123,204/58,852
  6. Step 6: Final answer
    x = 247,963.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.