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Finding the Third Proportional to 92,178 and 131,625

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Solution

The third proportional to 92,178 and 131,625 is: 187,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,178 : 131,625 = 131,625 : x
  2. Step 2: Convert to fraction form
    92,178/131,625 = 131,625/x
  3. Step 3: Cross multiply
    92,178x = 131,625 × 131,625
  4. Step 4: Simplify right side
    92,178x = 17,325,140,625
  5. Step 5: Solve for x
    x = 17,325,140,625/92,178
  6. Step 6: Final answer
    x = 187,953.10

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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.