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Finding the Third Proportional to 61,083 and 132,611

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Solution

The third proportional to 61,083 and 132,611 is: 287,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,083 : 132,611 = 132,611 : x
  2. Step 2: Convert to fraction form
    61,083/132,611 = 132,611/x
  3. Step 3: Cross multiply
    61,083x = 132,611 × 132,611
  4. Step 4: Simplify right side
    61,083x = 17,585,677,321
  5. Step 5: Solve for x
    x = 17,585,677,321/61,083
  6. Step 6: Final answer
    x = 287,898.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.