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Finding the Third Proportional to 61,311 and 127,014

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Solution

The third proportional to 61,311 and 127,014 is: 263,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,311 : 127,014 = 127,014 : x
  2. Step 2: Convert to fraction form
    61,311/127,014 = 127,014/x
  3. Step 3: Cross multiply
    61,311x = 127,014 × 127,014
  4. Step 4: Simplify right side
    61,311x = 16,132,556,196
  5. Step 5: Solve for x
    x = 16,132,556,196/61,311
  6. Step 6: Final answer
    x = 263,126.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.