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Finding the Third Proportional to 103,835 and 157,805

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Solution

The third proportional to 103,835 and 157,805 is: 239,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,835 : 157,805 = 157,805 : x
  2. Step 2: Convert to fraction form
    103,835/157,805 = 157,805/x
  3. Step 3: Cross multiply
    103,835x = 157,805 × 157,805
  4. Step 4: Simplify right side
    103,835x = 24,902,418,025
  5. Step 5: Solve for x
    x = 24,902,418,025/103,835
  6. Step 6: Final answer
    x = 239,826.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.