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Finding the Third Proportional to 59,129 and 128,094

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Solution

The third proportional to 59,129 and 128,094 is: 277,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,129 : 128,094 = 128,094 : x
  2. Step 2: Convert to fraction form
    59,129/128,094 = 128,094/x
  3. Step 3: Cross multiply
    59,129x = 128,094 × 128,094
  4. Step 4: Simplify right side
    59,129x = 16,408,072,836
  5. Step 5: Solve for x
    x = 16,408,072,836/59,129
  6. Step 6: Final answer
    x = 277,496.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.