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Finding the Third Proportional to 51,560 and 109,221

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Solution

The third proportional to 51,560 and 109,221 is: 231,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,560 : 109,221 = 109,221 : x
  2. Step 2: Convert to fraction form
    51,560/109,221 = 109,221/x
  3. Step 3: Cross multiply
    51,560x = 109,221 × 109,221
  4. Step 4: Simplify right side
    51,560x = 11,929,226,841
  5. Step 5: Solve for x
    x = 11,929,226,841/51,560
  6. Step 6: Final answer
    x = 231,365.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.