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Finding the Third Proportional to 58,311 and 120,771

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Solution

The third proportional to 58,311 and 120,771 is: 250,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,311 : 120,771 = 120,771 : x
  2. Step 2: Convert to fraction form
    58,311/120,771 = 120,771/x
  3. Step 3: Cross multiply
    58,311x = 120,771 × 120,771
  4. Step 4: Simplify right side
    58,311x = 14,585,634,441
  5. Step 5: Solve for x
    x = 14,585,634,441/58,311
  6. Step 6: Final answer
    x = 250,135.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.