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Finding the Third Proportional to 62,532 and 127,611

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Solution

The third proportional to 62,532 and 127,611 is: 260,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,532 : 127,611 = 127,611 : x
  2. Step 2: Convert to fraction form
    62,532/127,611 = 127,611/x
  3. Step 3: Cross multiply
    62,532x = 127,611 × 127,611
  4. Step 4: Simplify right side
    62,532x = 16,284,567,321
  5. Step 5: Solve for x
    x = 16,284,567,321/62,532
  6. Step 6: Final answer
    x = 260,419.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.