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Finding the Third Proportional to 72,309.59 and 110,924.75

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Solution

The third proportional to 72,309.59 and 110,924.75 is: 170,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,309.59 : 110,924.75 = 110,924.75 : x
  2. Step 2: Convert to fraction form
    72,309.59/110,924.75 = 110,924.75/x
  3. Step 3: Cross multiply
    72,309.59x = 110,924.75 × 110,924.75
  4. Step 4: Simplify right side
    72,309.59x = 12,304,301,029.16
  5. Step 5: Solve for x
    x = 12,304,301,029.16/72,309.59
  6. Step 6: Final answer
    x = 170,161.41

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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.