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Finding the Third Proportional to 55,904.50 and 120,722

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Solution

The third proportional to 55,904.50 and 120,722 is: 260,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,904.50 : 120,722 = 120,722 : x
  2. Step 2: Convert to fraction form
    55,904.50/120,722 = 120,722/x
  3. Step 3: Cross multiply
    55,904.50x = 120,722 × 120,722
  4. Step 4: Simplify right side
    55,904.50x = 14,573,801,284
  5. Step 5: Solve for x
    x = 14,573,801,284/55,904.50
  6. Step 6: Final answer
    x = 260,691.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.