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Finding the Third Proportional to 49,460 and 107,128

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Solution

The third proportional to 49,460 and 107,128 is: 232,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,460 : 107,128 = 107,128 : x
  2. Step 2: Convert to fraction form
    49,460/107,128 = 107,128/x
  3. Step 3: Cross multiply
    49,460x = 107,128 × 107,128
  4. Step 4: Simplify right side
    49,460x = 11,476,408,384
  5. Step 5: Solve for x
    x = 11,476,408,384/49,460
  6. Step 6: Final answer
    x = 232,034.14

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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.