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Finding the Third Proportional to 66,206 and 92,611

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Solution

The third proportional to 66,206 and 92,611 is: 129,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,206 : 92,611 = 92,611 : x
  2. Step 2: Convert to fraction form
    66,206/92,611 = 92,611/x
  3. Step 3: Cross multiply
    66,206x = 92,611 × 92,611
  4. Step 4: Simplify right side
    66,206x = 8,576,797,321
  5. Step 5: Solve for x
    x = 8,576,797,321/66,206
  6. Step 6: Final answer
    x = 129,547.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.