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Finding the Third Proportional to 49,322 and 107,023

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Solution

The third proportional to 49,322 and 107,023 is: 232,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 107,023 = 107,023 : x
  2. Step 2: Convert to fraction form
    49,322/107,023 = 107,023/x
  3. Step 3: Cross multiply
    49,322x = 107,023 × 107,023
  4. Step 4: Simplify right side
    49,322x = 11,453,922,529
  5. Step 5: Solve for x
    x = 11,453,922,529/49,322
  6. Step 6: Final answer
    x = 232,227.45

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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.