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Finding the Third Proportional to 52,260 and 114,924.50

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Solution

The third proportional to 52,260 and 114,924.50 is: 252,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,260 : 114,924.50 = 114,924.50 : x
  2. Step 2: Convert to fraction form
    52,260/114,924.50 = 114,924.50/x
  3. Step 3: Cross multiply
    52,260x = 114,924.50 × 114,924.50
  4. Step 4: Simplify right side
    52,260x = 13,207,640,700.25
  5. Step 5: Solve for x
    x = 13,207,640,700.25/52,260
  6. Step 6: Final answer
    x = 252,729.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.