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Finding the Third Proportional to 52,708.22 and 112,949.44

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Solution

The third proportional to 52,708.22 and 112,949.44 is: 242,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708.22 : 112,949.44 = 112,949.44 : x
  2. Step 2: Convert to fraction form
    52,708.22/112,949.44 = 112,949.44/x
  3. Step 3: Cross multiply
    52,708.22x = 112,949.44 × 112,949.44
  4. Step 4: Simplify right side
    52,708.22x = 12,757,575,431.57
  5. Step 5: Solve for x
    x = 12,757,575,431.57/52,708.22
  6. Step 6: Final answer
    x = 242,041.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.