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Finding the Third Proportional to 61,174 and 134,011

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Solution

The third proportional to 61,174 and 134,011 is: 293,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,174 : 134,011 = 134,011 : x
  2. Step 2: Convert to fraction form
    61,174/134,011 = 134,011/x
  3. Step 3: Cross multiply
    61,174x = 134,011 × 134,011
  4. Step 4: Simplify right side
    61,174x = 17,958,948,121
  5. Step 5: Solve for x
    x = 17,958,948,121/61,174
  6. Step 6: Final answer
    x = 293,571.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.