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Finding the Third Proportional to 89,959.50 and 132,023

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Solution

The third proportional to 89,959.50 and 132,023 is: 193,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,959.50 : 132,023 = 132,023 : x
  2. Step 2: Convert to fraction form
    89,959.50/132,023 = 132,023/x
  3. Step 3: Cross multiply
    89,959.50x = 132,023 × 132,023
  4. Step 4: Simplify right side
    89,959.50x = 17,430,072,529
  5. Step 5: Solve for x
    x = 17,430,072,529/89,959.50
  6. Step 6: Final answer
    x = 193,754.66

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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.