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Finding the Third Proportional to 73,926 and 113,744.25

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Solution

The third proportional to 73,926 and 113,744.25 is: 175,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926 : 113,744.25 = 113,744.25 : x
  2. Step 2: Convert to fraction form
    73,926/113,744.25 = 113,744.25/x
  3. Step 3: Cross multiply
    73,926x = 113,744.25 × 113,744.25
  4. Step 4: Simplify right side
    73,926x = 12,937,754,408.06
  5. Step 5: Solve for x
    x = 12,937,754,408.06/73,926
  6. Step 6: Final answer
    x = 175,009.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.