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Finding the Third Proportional to 92,544 and 139,456

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Solution

The third proportional to 92,544 and 139,456 is: 210,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,544 : 139,456 = 139,456 : x
  2. Step 2: Convert to fraction form
    92,544/139,456 = 139,456/x
  3. Step 3: Cross multiply
    92,544x = 139,456 × 139,456
  4. Step 4: Simplify right side
    92,544x = 19,447,975,936
  5. Step 5: Solve for x
    x = 19,447,975,936/92,544
  6. Step 6: Final answer
    x = 210,148.43

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