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Finding the Third Proportional to 89,966 and 128,158

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Solution

The third proportional to 89,966 and 128,158 is: 182,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,966 : 128,158 = 128,158 : x
  2. Step 2: Convert to fraction form
    89,966/128,158 = 128,158/x
  3. Step 3: Cross multiply
    89,966x = 128,158 × 128,158
  4. Step 4: Simplify right side
    89,966x = 16,424,472,964
  5. Step 5: Solve for x
    x = 16,424,472,964/89,966
  6. Step 6: Final answer
    x = 182,563.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.