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Finding the Third Proportional to 104,652 and 168,480

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Solution

The third proportional to 104,652 and 168,480 is: 271,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,652 : 168,480 = 168,480 : x
  2. Step 2: Convert to fraction form
    104,652/168,480 = 168,480/x
  3. Step 3: Cross multiply
    104,652x = 168,480 × 168,480
  4. Step 4: Simplify right side
    104,652x = 28,385,510,400
  5. Step 5: Solve for x
    x = 28,385,510,400/104,652
  6. Step 6: Final answer
    x = 271,237.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.