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Finding the Third Proportional to 113,673 and 239,130

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Solution

The third proportional to 113,673 and 239,130 is: 503,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,673 : 239,130 = 239,130 : x
  2. Step 2: Convert to fraction form
    113,673/239,130 = 239,130/x
  3. Step 3: Cross multiply
    113,673x = 239,130 × 239,130
  4. Step 4: Simplify right side
    113,673x = 57,183,156,900
  5. Step 5: Solve for x
    x = 57,183,156,900/113,673
  6. Step 6: Final answer
    x = 503,049.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.