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Finding the Third Proportional to 92,139.50 and 200,954

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Solution

The third proportional to 92,139.50 and 200,954 is: 438,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,139.50 : 200,954 = 200,954 : x
  2. Step 2: Convert to fraction form
    92,139.50/200,954 = 200,954/x
  3. Step 3: Cross multiply
    92,139.50x = 200,954 × 200,954
  4. Step 4: Simplify right side
    92,139.50x = 40,382,510,116
  5. Step 5: Solve for x
    x = 40,382,510,116/92,139.50
  6. Step 6: Final answer
    x = 438,275.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.