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Finding the Third Proportional to 92,395 and 139,425

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Solution

The third proportional to 92,395 and 139,425 is: 210,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,395 : 139,425 = 139,425 : x
  2. Step 2: Convert to fraction form
    92,395/139,425 = 139,425/x
  3. Step 3: Cross multiply
    92,395x = 139,425 × 139,425
  4. Step 4: Simplify right side
    92,395x = 19,439,330,625
  5. Step 5: Solve for x
    x = 19,439,330,625/92,395
  6. Step 6: Final answer
    x = 210,393.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.