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Finding the Third Proportional to 42,900.75 and 94,101.75

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Solution

The third proportional to 42,900.75 and 94,101.75 is: 206,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,900.75 : 94,101.75 = 94,101.75 : x
  2. Step 2: Convert to fraction form
    42,900.75/94,101.75 = 94,101.75/x
  3. Step 3: Cross multiply
    42,900.75x = 94,101.75 × 94,101.75
  4. Step 4: Simplify right side
    42,900.75x = 8,855,139,353.06
  5. Step 5: Solve for x
    x = 8,855,139,353.06/42,900.75
  6. Step 6: Final answer
    x = 206,409.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.