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Finding the Third Proportional to 92,443 and 132,101

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Solution

The third proportional to 92,443 and 132,101 is: 188,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,443 : 132,101 = 132,101 : x
  2. Step 2: Convert to fraction form
    92,443/132,101 = 132,101/x
  3. Step 3: Cross multiply
    92,443x = 132,101 × 132,101
  4. Step 4: Simplify right side
    92,443x = 17,450,674,201
  5. Step 5: Solve for x
    x = 17,450,674,201/92,443
  6. Step 6: Final answer
    x = 188,772.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.