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Finding the Third Proportional to 92,194.03 and 139,138.17

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Solution

The third proportional to 92,194.03 and 139,138.17 is: 209,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,194.03 : 139,138.17 = 139,138.17 : x
  2. Step 2: Convert to fraction form
    92,194.03/139,138.17 = 139,138.17/x
  3. Step 3: Cross multiply
    92,194.03x = 139,138.17 × 139,138.17
  4. Step 4: Simplify right side
    92,194.03x = 19,359,430,872.72
  5. Step 5: Solve for x
    x = 19,359,430,872.72/92,194.03
  6. Step 6: Final answer
    x = 209,985.73

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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.