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Finding the Third Proportional to 92,281 and 131,961

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Solution

The third proportional to 92,281 and 131,961 is: 188,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,281 : 131,961 = 131,961 : x
  2. Step 2: Convert to fraction form
    92,281/131,961 = 131,961/x
  3. Step 3: Cross multiply
    92,281x = 131,961 × 131,961
  4. Step 4: Simplify right side
    92,281x = 17,413,705,521
  5. Step 5: Solve for x
    x = 17,413,705,521/92,281
  6. Step 6: Final answer
    x = 188,703.04

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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.