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Finding the Third Proportional to 73,814.50 and 160,133

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Solution

The third proportional to 73,814.50 and 160,133 is: 347,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,814.50 : 160,133 = 160,133 : x
  2. Step 2: Convert to fraction form
    73,814.50/160,133 = 160,133/x
  3. Step 3: Cross multiply
    73,814.50x = 160,133 × 160,133
  4. Step 4: Simplify right side
    73,814.50x = 25,642,577,689
  5. Step 5: Solve for x
    x = 25,642,577,689/73,814.50
  6. Step 6: Final answer
    x = 347,392.15

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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.