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Finding the Third Proportional to 73,937.81 and 160,331.27

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Solution

The third proportional to 73,937.81 and 160,331.27 is: 347,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,937.81 : 160,331.27 = 160,331.27 : x
  2. Step 2: Convert to fraction form
    73,937.81/160,331.27 = 160,331.27/x
  3. Step 3: Cross multiply
    73,937.81x = 160,331.27 × 160,331.27
  4. Step 4: Simplify right side
    73,937.81x = 25,706,117,242.09
  5. Step 5: Solve for x
    x = 25,706,117,242.09/73,937.81
  6. Step 6: Final answer
    x = 347,672.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.