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Finding the Third Proportional to 58,331 and 120,289

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Solution

The third proportional to 58,331 and 120,289 is: 248,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,331 : 120,289 = 120,289 : x
  2. Step 2: Convert to fraction form
    58,331/120,289 = 120,289/x
  3. Step 3: Cross multiply
    58,331x = 120,289 × 120,289
  4. Step 4: Simplify right side
    58,331x = 14,469,443,521
  5. Step 5: Solve for x
    x = 14,469,443,521/58,331
  6. Step 6: Final answer
    x = 248,057.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.