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Finding the Third Proportional to 104,598 and 157,131

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Solution

The third proportional to 104,598 and 157,131 is: 236,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,598 : 157,131 = 157,131 : x
  2. Step 2: Convert to fraction form
    104,598/157,131 = 157,131/x
  3. Step 3: Cross multiply
    104,598x = 157,131 × 157,131
  4. Step 4: Simplify right side
    104,598x = 24,690,151,161
  5. Step 5: Solve for x
    x = 24,690,151,161/104,598
  6. Step 6: Final answer
    x = 236,048.02

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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.