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Finding the Third Proportional to 104,868 and 157,314

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Solution

The third proportional to 104,868 and 157,314 is: 235,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,868 : 157,314 = 157,314 : x
  2. Step 2: Convert to fraction form
    104,868/157,314 = 157,314/x
  3. Step 3: Cross multiply
    104,868x = 157,314 × 157,314
  4. Step 4: Simplify right side
    104,868x = 24,747,694,596
  5. Step 5: Solve for x
    x = 24,747,694,596/104,868
  6. Step 6: Final answer
    x = 235,989.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.