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Finding the Third Proportional to 92,938 and 139,812

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Solution

The third proportional to 92,938 and 139,812 is: 210,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,938 : 139,812 = 139,812 : x
  2. Step 2: Convert to fraction form
    92,938/139,812 = 139,812/x
  3. Step 3: Cross multiply
    92,938x = 139,812 × 139,812
  4. Step 4: Simplify right side
    92,938x = 19,547,395,344
  5. Step 5: Solve for x
    x = 19,547,395,344/92,938
  6. Step 6: Final answer
    x = 210,327.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.