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Finding the Third Proportional to 104,586 and 157,117

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Solution

The third proportional to 104,586 and 157,117 is: 236,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,586 : 157,117 = 157,117 : x
  2. Step 2: Convert to fraction form
    104,586/157,117 = 157,117/x
  3. Step 3: Cross multiply
    104,586x = 157,117 × 157,117
  4. Step 4: Simplify right side
    104,586x = 24,685,751,689
  5. Step 5: Solve for x
    x = 24,685,751,689/104,586
  6. Step 6: Final answer
    x = 236,033.04

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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.