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Finding the Third Proportional to 49,322 and 75,214

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Solution

The third proportional to 49,322 and 75,214 is: 114,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 75,214 = 75,214 : x
  2. Step 2: Convert to fraction form
    49,322/75,214 = 75,214/x
  3. Step 3: Cross multiply
    49,322x = 75,214 × 75,214
  4. Step 4: Simplify right side
    49,322x = 5,657,145,796
  5. Step 5: Solve for x
    x = 5,657,145,796/49,322
  6. Step 6: Final answer
    x = 114,698.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.