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Finding the Third Proportional to 53,484 and 108,266

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Solution

The third proportional to 53,484 and 108,266 is: 219,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484 : 108,266 = 108,266 : x
  2. Step 2: Convert to fraction form
    53,484/108,266 = 108,266/x
  3. Step 3: Cross multiply
    53,484x = 108,266 × 108,266
  4. Step 4: Simplify right side
    53,484x = 11,721,526,756
  5. Step 5: Solve for x
    x = 11,721,526,756/53,484
  6. Step 6: Final answer
    x = 219,159.50

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.