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Finding the Third Proportional to 49,352 and 107,126

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Solution

The third proportional to 49,352 and 107,126 is: 232,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,352 : 107,126 = 107,126 : x
  2. Step 2: Convert to fraction form
    49,352/107,126 = 107,126/x
  3. Step 3: Cross multiply
    49,352x = 107,126 × 107,126
  4. Step 4: Simplify right side
    49,352x = 11,475,979,876
  5. Step 5: Solve for x
    x = 11,475,979,876/49,352
  6. Step 6: Final answer
    x = 232,533.23

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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.