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Finding the Third Proportional to 89,952 and 132,011.75

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Solution

The third proportional to 89,952 and 132,011.75 is: 193,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,952 : 132,011.75 = 132,011.75 : x
  2. Step 2: Convert to fraction form
    89,952/132,011.75 = 132,011.75/x
  3. Step 3: Cross multiply
    89,952x = 132,011.75 × 132,011.75
  4. Step 4: Simplify right side
    89,952x = 17,427,102,138.06
  5. Step 5: Solve for x
    x = 17,427,102,138.06/89,952
  6. Step 6: Final answer
    x = 193,737.80

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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.