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Finding the Third Proportional to 75,927.75 and 116,191.13

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Solution

The third proportional to 75,927.75 and 116,191.13 is: 177,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,927.75 : 116,191.13 = 116,191.13 : x
  2. Step 2: Convert to fraction form
    75,927.75/116,191.13 = 116,191.13/x
  3. Step 3: Cross multiply
    75,927.75x = 116,191.13 × 116,191.13
  4. Step 4: Simplify right side
    75,927.75x = 13,500,377,528.77
  5. Step 5: Solve for x
    x = 13,500,377,528.77/75,927.75
  6. Step 6: Final answer
    x = 177,805.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.