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Finding the Third Proportional to 104,893 and 163,621

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Solution

The third proportional to 104,893 and 163,621 is: 255,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,893 : 163,621 = 163,621 : x
  2. Step 2: Convert to fraction form
    104,893/163,621 = 163,621/x
  3. Step 3: Cross multiply
    104,893x = 163,621 × 163,621
  4. Step 4: Simplify right side
    104,893x = 26,771,831,641
  5. Step 5: Solve for x
    x = 26,771,831,641/104,893
  6. Step 6: Final answer
    x = 255,229.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.