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Finding the Third Proportional to 89,949 and 132,007.50

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Solution

The third proportional to 89,949 and 132,007.50 is: 193,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,949 : 132,007.50 = 132,007.50 : x
  2. Step 2: Convert to fraction form
    89,949/132,007.50 = 132,007.50/x
  3. Step 3: Cross multiply
    89,949x = 132,007.50 × 132,007.50
  4. Step 4: Simplify right side
    89,949x = 17,425,980,056.25
  5. Step 5: Solve for x
    x = 17,425,980,056.25/89,949
  6. Step 6: Final answer
    x = 193,731.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.