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Finding the Third Proportional to 78,122.25 and 168,111

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Solution

The third proportional to 78,122.25 and 168,111 is: 361,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122.25 : 168,111 = 168,111 : x
  2. Step 2: Convert to fraction form
    78,122.25/168,111 = 168,111/x
  3. Step 3: Cross multiply
    78,122.25x = 168,111 × 168,111
  4. Step 4: Simplify right side
    78,122.25x = 28,261,308,321
  5. Step 5: Solve for x
    x = 28,261,308,321/78,122.25
  6. Step 6: Final answer
    x = 361,757.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.