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Finding the Third Proportional to 42,607.50 and 89,622

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Solution

The third proportional to 42,607.50 and 89,622 is: 188,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,607.50 : 89,622 = 89,622 : x
  2. Step 2: Convert to fraction form
    42,607.50/89,622 = 89,622/x
  3. Step 3: Cross multiply
    42,607.50x = 89,622 × 89,622
  4. Step 4: Simplify right side
    42,607.50x = 8,032,102,884
  5. Step 5: Solve for x
    x = 8,032,102,884/42,607.50
  6. Step 6: Final answer
    x = 188,513.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.