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Finding the Third Proportional to 53,286 and 108,148

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Solution

The third proportional to 53,286 and 108,148 is: 219,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,286 : 108,148 = 108,148 : x
  2. Step 2: Convert to fraction form
    53,286/108,148 = 108,148/x
  3. Step 3: Cross multiply
    53,286x = 108,148 × 108,148
  4. Step 4: Simplify right side
    53,286x = 11,695,989,904
  5. Step 5: Solve for x
    x = 11,695,989,904/53,286
  6. Step 6: Final answer
    x = 219,494.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.