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Finding the Third Proportional to 75,343.50 and 116,579.25

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Solution

The third proportional to 75,343.50 and 116,579.25 is: 180,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,343.50 : 116,579.25 = 116,579.25 : x
  2. Step 2: Convert to fraction form
    75,343.50/116,579.25 = 116,579.25/x
  3. Step 3: Cross multiply
    75,343.50x = 116,579.25 × 116,579.25
  4. Step 4: Simplify right side
    75,343.50x = 13,590,721,530.56
  5. Step 5: Solve for x
    x = 13,590,721,530.56/75,343.50
  6. Step 6: Final answer
    x = 180,383.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.