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Finding the Third Proportional to 59,137 and 133,079

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Solution

The third proportional to 59,137 and 133,079 is: 299,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,137 : 133,079 = 133,079 : x
  2. Step 2: Convert to fraction form
    59,137/133,079 = 133,079/x
  3. Step 3: Cross multiply
    59,137x = 133,079 × 133,079
  4. Step 4: Simplify right side
    59,137x = 17,710,020,241
  5. Step 5: Solve for x
    x = 17,710,020,241/59,137
  6. Step 6: Final answer
    x = 299,474.44

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.