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Finding the Third Proportional to 115,973.06 and 179,571.13

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Solution

The third proportional to 115,973.06 and 179,571.13 is: 278,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,973.06 : 179,571.13 = 179,571.13 : x
  2. Step 2: Convert to fraction form
    115,973.06/179,571.13 = 179,571.13/x
  3. Step 3: Cross multiply
    115,973.06x = 179,571.13 × 179,571.13
  4. Step 4: Simplify right side
    115,973.06x = 32,245,788,933.77
  5. Step 5: Solve for x
    x = 32,245,788,933.77/115,973.06
  6. Step 6: Final answer
    x = 278,045.51

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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.