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Finding the Third Proportional to 75,229.75 and 116,861.63

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Solution

The third proportional to 75,229.75 and 116,861.63 is: 181,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,229.75 : 116,861.63 = 116,861.63 : x
  2. Step 2: Convert to fraction form
    75,229.75/116,861.63 = 116,861.63/x
  3. Step 3: Cross multiply
    75,229.75x = 116,861.63 × 116,861.63
  4. Step 4: Simplify right side
    75,229.75x = 13,656,639,397.64
  5. Step 5: Solve for x
    x = 13,656,639,397.64/75,229.75
  6. Step 6: Final answer
    x = 181,532.43

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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.