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Finding the Third Proportional to 79,972.69 and 174,965.81

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Solution

The third proportional to 79,972.69 and 174,965.81 is: 382,793.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,972.69 : 174,965.81 = 174,965.81 : x
  2. Step 2: Convert to fraction form
    79,972.69/174,965.81 = 174,965.81/x
  3. Step 3: Cross multiply
    79,972.69x = 174,965.81 × 174,965.81
  4. Step 4: Simplify right side
    79,972.69x = 30,613,035,543.79
  5. Step 5: Solve for x
    x = 30,613,035,543.79/79,972.69
  6. Step 6: Final answer
    x = 382,793.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.