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Finding the Third Proportional to 49,164.75 and 106,652.25

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Solution

The third proportional to 49,164.75 and 106,652.25 is: 231,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164.75 : 106,652.25 = 106,652.25 : x
  2. Step 2: Convert to fraction form
    49,164.75/106,652.25 = 106,652.25/x
  3. Step 3: Cross multiply
    49,164.75x = 106,652.25 × 106,652.25
  4. Step 4: Simplify right side
    49,164.75x = 11,374,702,430.06
  5. Step 5: Solve for x
    x = 11,374,702,430.06/49,164.75
  6. Step 6: Final answer
    x = 231,358.90

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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.