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Finding the Third Proportional to 113,690 and 239,164

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Solution

The third proportional to 113,690 and 239,164 is: 503,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,690 : 239,164 = 239,164 : x
  2. Step 2: Convert to fraction form
    113,690/239,164 = 239,164/x
  3. Step 3: Cross multiply
    113,690x = 239,164 × 239,164
  4. Step 4: Simplify right side
    113,690x = 57,199,418,896
  5. Step 5: Solve for x
    x = 57,199,418,896/113,690
  6. Step 6: Final answer
    x = 503,117.41

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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.