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Finding the Third Proportional to 44,346 and 95,726

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Solution

The third proportional to 44,346 and 95,726 is: 206,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,346 : 95,726 = 95,726 : x
  2. Step 2: Convert to fraction form
    44,346/95,726 = 95,726/x
  3. Step 3: Cross multiply
    44,346x = 95,726 × 95,726
  4. Step 4: Simplify right side
    44,346x = 9,163,467,076
  5. Step 5: Solve for x
    x = 9,163,467,076/44,346
  6. Step 6: Final answer
    x = 206,635.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.