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Finding the Third Proportional to 92,523 and 132,211

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Solution

The third proportional to 92,523 and 132,211 is: 188,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,523 : 132,211 = 132,211 : x
  2. Step 2: Convert to fraction form
    92,523/132,211 = 132,211/x
  3. Step 3: Cross multiply
    92,523x = 132,211 × 132,211
  4. Step 4: Simplify right side
    92,523x = 17,479,748,521
  5. Step 5: Solve for x
    x = 17,479,748,521/92,523
  6. Step 6: Final answer
    x = 188,923.28

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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.