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Finding the Third Proportional to 89,964 and 134,458

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Solution

The third proportional to 89,964 and 134,458 is: 200,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,964 : 134,458 = 134,458 : x
  2. Step 2: Convert to fraction form
    89,964/134,458 = 134,458/x
  3. Step 3: Cross multiply
    89,964x = 134,458 × 134,458
  4. Step 4: Simplify right side
    89,964x = 18,078,953,764
  5. Step 5: Solve for x
    x = 18,078,953,764/89,964
  6. Step 6: Final answer
    x = 200,957.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.