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Finding the Third Proportional to 59,319 and 126,174

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Solution

The third proportional to 59,319 and 126,174 is: 268,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,319 : 126,174 = 126,174 : x
  2. Step 2: Convert to fraction form
    59,319/126,174 = 126,174/x
  3. Step 3: Cross multiply
    59,319x = 126,174 × 126,174
  4. Step 4: Simplify right side
    59,319x = 15,919,878,276
  5. Step 5: Solve for x
    x = 15,919,878,276/59,319
  6. Step 6: Final answer
    x = 268,377.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.