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Finding the Third Proportional to 61,883 and 149,027

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Solution

The third proportional to 61,883 and 149,027 is: 358,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,883 : 149,027 = 149,027 : x
  2. Step 2: Convert to fraction form
    61,883/149,027 = 149,027/x
  3. Step 3: Cross multiply
    61,883x = 149,027 × 149,027
  4. Step 4: Simplify right side
    61,883x = 22,209,046,729
  5. Step 5: Solve for x
    x = 22,209,046,729/61,883
  6. Step 6: Final answer
    x = 358,887.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.