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Finding the Third Proportional to 42,125 and 92,164

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Solution

The third proportional to 42,125 and 92,164 is: 201,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,125 : 92,164 = 92,164 : x
  2. Step 2: Convert to fraction form
    42,125/92,164 = 92,164/x
  3. Step 3: Cross multiply
    42,125x = 92,164 × 92,164
  4. Step 4: Simplify right side
    42,125x = 8,494,202,896
  5. Step 5: Solve for x
    x = 8,494,202,896/42,125
  6. Step 6: Final answer
    x = 201,642.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.