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Finding the Third Proportional to 75,829.50 and 117,741.75

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Solution

The third proportional to 75,829.50 and 117,741.75 is: 182,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,829.50 : 117,741.75 = 117,741.75 : x
  2. Step 2: Convert to fraction form
    75,829.50/117,741.75 = 117,741.75/x
  3. Step 3: Cross multiply
    75,829.50x = 117,741.75 × 117,741.75
  4. Step 4: Simplify right side
    75,829.50x = 13,863,119,693.06
  5. Step 5: Solve for x
    x = 13,863,119,693.06/75,829.50
  6. Step 6: Final answer
    x = 182,819.61

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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.