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Finding the Third Proportional to 52,920 and 110,153.25

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Solution

The third proportional to 52,920 and 110,153.25 is: 229,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,920 : 110,153.25 = 110,153.25 : x
  2. Step 2: Convert to fraction form
    52,920/110,153.25 = 110,153.25/x
  3. Step 3: Cross multiply
    52,920x = 110,153.25 × 110,153.25
  4. Step 4: Simplify right side
    52,920x = 12,133,738,485.56
  5. Step 5: Solve for x
    x = 12,133,738,485.56/52,920
  6. Step 6: Final answer
    x = 229,284.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.