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Finding the Third Proportional to 89,972 and 134,228

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Solution

The third proportional to 89,972 and 134,228 is: 200,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,972 : 134,228 = 134,228 : x
  2. Step 2: Convert to fraction form
    89,972/134,228 = 134,228/x
  3. Step 3: Cross multiply
    89,972x = 134,228 × 134,228
  4. Step 4: Simplify right side
    89,972x = 18,017,155,984
  5. Step 5: Solve for x
    x = 18,017,155,984/89,972
  6. Step 6: Final answer
    x = 200,252.92

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Why These Related Problems?

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