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Finding the Third Proportional to 57,924 and 135,327.75

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Solution

The third proportional to 57,924 and 135,327.75 is: 316,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,924 : 135,327.75 = 135,327.75 : x
  2. Step 2: Convert to fraction form
    57,924/135,327.75 = 135,327.75/x
  3. Step 3: Cross multiply
    57,924x = 135,327.75 × 135,327.75
  4. Step 4: Simplify right side
    57,924x = 18,313,599,920.06
  5. Step 5: Solve for x
    x = 18,313,599,920.06/57,924
  6. Step 6: Final answer
    x = 316,166.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.