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Finding the Third Proportional to 113,945 and 183,068

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Solution

The third proportional to 113,945 and 183,068 is: 294,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,945 : 183,068 = 183,068 : x
  2. Step 2: Convert to fraction form
    113,945/183,068 = 183,068/x
  3. Step 3: Cross multiply
    113,945x = 183,068 × 183,068
  4. Step 4: Simplify right side
    113,945x = 33,513,892,624
  5. Step 5: Solve for x
    x = 33,513,892,624/113,945
  6. Step 6: Final answer
    x = 294,123.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.