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Finding the Third Proportional to 119,913 and 173,239

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Solution

The third proportional to 119,913 and 173,239 is: 250,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,913 : 173,239 = 173,239 : x
  2. Step 2: Convert to fraction form
    119,913/173,239 = 173,239/x
  3. Step 3: Cross multiply
    119,913x = 173,239 × 173,239
  4. Step 4: Simplify right side
    119,913x = 30,011,751,121
  5. Step 5: Solve for x
    x = 30,011,751,121/119,913
  6. Step 6: Final answer
    x = 250,279.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.