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Finding the Third Proportional to 51,521.06 and 108,577.13

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Solution

The third proportional to 51,521.06 and 108,577.13 is: 228,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,521.06 : 108,577.13 = 108,577.13 : x
  2. Step 2: Convert to fraction form
    51,521.06/108,577.13 = 108,577.13/x
  3. Step 3: Cross multiply
    51,521.06x = 108,577.13 × 108,577.13
  4. Step 4: Simplify right side
    51,521.06x = 11,788,992,073.27
  5. Step 5: Solve for x
    x = 11,788,992,073.27/51,521.06
  6. Step 6: Final answer
    x = 228,818.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.