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Finding the Third Proportional to 58,771 and 129,205

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Solution

The third proportional to 58,771 and 129,205 is: 284,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,771 : 129,205 = 129,205 : x
  2. Step 2: Convert to fraction form
    58,771/129,205 = 129,205/x
  3. Step 3: Cross multiply
    58,771x = 129,205 × 129,205
  4. Step 4: Simplify right side
    58,771x = 16,693,932,025
  5. Step 5: Solve for x
    x = 16,693,932,025/58,771
  6. Step 6: Final answer
    x = 284,050.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.