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Finding the Third Proportional to 74,614.50 and 157,869

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Solution

The third proportional to 74,614.50 and 157,869 is: 334,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.50 : 157,869 = 157,869 : x
  2. Step 2: Convert to fraction form
    74,614.50/157,869 = 157,869/x
  3. Step 3: Cross multiply
    74,614.50x = 157,869 × 157,869
  4. Step 4: Simplify right side
    74,614.50x = 24,922,621,161
  5. Step 5: Solve for x
    x = 24,922,621,161/74,614.50
  6. Step 6: Final answer
    x = 334,018.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.