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Finding the Third Proportional to 77,365.13 and 159,544.69

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Solution

The third proportional to 77,365.13 and 159,544.69 is: 329,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,365.13 : 159,544.69 = 159,544.69 : x
  2. Step 2: Convert to fraction form
    77,365.13/159,544.69 = 159,544.69/x
  3. Step 3: Cross multiply
    77,365.13x = 159,544.69 × 159,544.69
  4. Step 4: Simplify right side
    77,365.13x = 25,454,507,309.47
  5. Step 5: Solve for x
    x = 25,454,507,309.47/77,365.13
  6. Step 6: Final answer
    x = 329,017.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.