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Finding the Third Proportional to 77,769 and 116,166.75

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Solution

The third proportional to 77,769 and 116,166.75 is: 173,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769 : 116,166.75 = 116,166.75 : x
  2. Step 2: Convert to fraction form
    77,769/116,166.75 = 116,166.75/x
  3. Step 3: Cross multiply
    77,769x = 116,166.75 × 116,166.75
  4. Step 4: Simplify right side
    77,769x = 13,494,713,805.56
  5. Step 5: Solve for x
    x = 13,494,713,805.56/77,769
  6. Step 6: Final answer
    x = 173,523.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.