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Finding the Third Proportional to 73,983 and 115,932.75

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Solution

The third proportional to 73,983 and 115,932.75 is: 181,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,983 : 115,932.75 = 115,932.75 : x
  2. Step 2: Convert to fraction form
    73,983/115,932.75 = 115,932.75/x
  3. Step 3: Cross multiply
    73,983x = 115,932.75 × 115,932.75
  4. Step 4: Simplify right side
    73,983x = 13,440,402,522.56
  5. Step 5: Solve for x
    x = 13,440,402,522.56/73,983
  6. Step 6: Final answer
    x = 181,668.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.