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Finding the Third Proportional to 100,095.75 and 155,889.56

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Solution

The third proportional to 100,095.75 and 155,889.56 is: 242,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,095.75 : 155,889.56 = 155,889.56 : x
  2. Step 2: Convert to fraction form
    100,095.75/155,889.56 = 155,889.56/x
  3. Step 3: Cross multiply
    100,095.75x = 155,889.56 × 155,889.56
  4. Step 4: Simplify right side
    100,095.75x = 24,301,555,696.44
  5. Step 5: Solve for x
    x = 24,301,555,696.44/100,095.75
  6. Step 6: Final answer
    x = 242,783.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.