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Finding the Third Proportional to 122,563.13 and 168,777

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Solution

The third proportional to 122,563.13 and 168,777 is: 232,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,563.13 : 168,777 = 168,777 : x
  2. Step 2: Convert to fraction form
    122,563.13/168,777 = 168,777/x
  3. Step 3: Cross multiply
    122,563.13x = 168,777 × 168,777
  4. Step 4: Simplify right side
    122,563.13x = 28,485,675,729
  5. Step 5: Solve for x
    x = 28,485,675,729/122,563.13
  6. Step 6: Final answer
    x = 232,416.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.