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Finding the Third Proportional to 66,188 and 92,586

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Solution

The third proportional to 66,188 and 92,586 is: 129,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,188 : 92,586 = 92,586 : x
  2. Step 2: Convert to fraction form
    66,188/92,586 = 92,586/x
  3. Step 3: Cross multiply
    66,188x = 92,586 × 92,586
  4. Step 4: Simplify right side
    66,188x = 8,572,167,396
  5. Step 5: Solve for x
    x = 8,572,167,396/66,188
  6. Step 6: Final answer
    x = 129,512.41

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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.