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Finding the Third Proportional to 51,611.06 and 75,425.06

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Solution

The third proportional to 51,611.06 and 75,425.06 is: 110,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,611.06 : 75,425.06 = 75,425.06 : x
  2. Step 2: Convert to fraction form
    51,611.06/75,425.06 = 75,425.06/x
  3. Step 3: Cross multiply
    51,611.06x = 75,425.06 × 75,425.06
  4. Step 4: Simplify right side
    51,611.06x = 5,688,940,053.13
  5. Step 5: Solve for x
    x = 5,688,940,053.13/51,611.06
  6. Step 6: Final answer
    x = 110,227.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.