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Finding the Third Proportional to 103,616 and 157,448

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Solution

The third proportional to 103,616 and 157,448 is: 239,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 157,448 = 157,448 : x
  2. Step 2: Convert to fraction form
    103,616/157,448 = 157,448/x
  3. Step 3: Cross multiply
    103,616x = 157,448 × 157,448
  4. Step 4: Simplify right side
    103,616x = 24,789,872,704
  5. Step 5: Solve for x
    x = 24,789,872,704/103,616
  6. Step 6: Final answer
    x = 239,247.54

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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.