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Finding the Third Proportional to 104,536 and 157,042

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Solution

The third proportional to 104,536 and 157,042 is: 235,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,536 : 157,042 = 157,042 : x
  2. Step 2: Convert to fraction form
    104,536/157,042 = 157,042/x
  3. Step 3: Cross multiply
    104,536x = 157,042 × 157,042
  4. Step 4: Simplify right side
    104,536x = 24,662,189,764
  5. Step 5: Solve for x
    x = 24,662,189,764/104,536
  6. Step 6: Final answer
    x = 235,920.54

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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.