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Finding the Third Proportional to 75,544.50 and 117,507.75

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Solution

The third proportional to 75,544.50 and 117,507.75 is: 182,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,544.50 : 117,507.75 = 117,507.75 : x
  2. Step 2: Convert to fraction form
    75,544.50/117,507.75 = 117,507.75/x
  3. Step 3: Cross multiply
    75,544.50x = 117,507.75 × 117,507.75
  4. Step 4: Simplify right side
    75,544.50x = 13,808,071,310.06
  5. Step 5: Solve for x
    x = 13,808,071,310.06/75,544.50
  6. Step 6: Final answer
    x = 182,780.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.