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Finding the Third Proportional to 103,633 and 157,477

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Solution

The third proportional to 103,633 and 157,477 is: 239,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633 : 157,477 = 157,477 : x
  2. Step 2: Convert to fraction form
    103,633/157,477 = 157,477/x
  3. Step 3: Cross multiply
    103,633x = 157,477 × 157,477
  4. Step 4: Simplify right side
    103,633x = 24,799,005,529
  5. Step 5: Solve for x
    x = 24,799,005,529/103,633
  6. Step 6: Final answer
    x = 239,296.42

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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.