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Finding the Third Proportional to 52,297 and 108,050

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Solution

The third proportional to 52,297 and 108,050 is: 223,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297 : 108,050 = 108,050 : x
  2. Step 2: Convert to fraction form
    52,297/108,050 = 108,050/x
  3. Step 3: Cross multiply
    52,297x = 108,050 × 108,050
  4. Step 4: Simplify right side
    52,297x = 11,674,802,500
  5. Step 5: Solve for x
    x = 11,674,802,500/52,297
  6. Step 6: Final answer
    x = 223,240.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.