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Finding the Third Proportional to 63,059 and 92,164

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Solution

The third proportional to 63,059 and 92,164 is: 134,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,059 : 92,164 = 92,164 : x
  2. Step 2: Convert to fraction form
    63,059/92,164 = 92,164/x
  3. Step 3: Cross multiply
    63,059x = 92,164 × 92,164
  4. Step 4: Simplify right side
    63,059x = 8,494,202,896
  5. Step 5: Solve for x
    x = 8,494,202,896/63,059
  6. Step 6: Final answer
    x = 134,702.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.