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Finding the Third Proportional to 90,634.50 and 103,392

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Solution

The third proportional to 90,634.50 and 103,392 is: 117,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,634.50 : 103,392 = 103,392 : x
  2. Step 2: Convert to fraction form
    90,634.50/103,392 = 103,392/x
  3. Step 3: Cross multiply
    90,634.50x = 103,392 × 103,392
  4. Step 4: Simplify right side
    90,634.50x = 10,689,905,664
  5. Step 5: Solve for x
    x = 10,689,905,664/90,634.50
  6. Step 6: Final answer
    x = 117,945.22

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.