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Finding the Third Proportional to 75,555 and 176,467.50

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Solution

The third proportional to 75,555 and 176,467.50 is: 412,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,555 : 176,467.50 = 176,467.50 : x
  2. Step 2: Convert to fraction form
    75,555/176,467.50 = 176,467.50/x
  3. Step 3: Cross multiply
    75,555x = 176,467.50 × 176,467.50
  4. Step 4: Simplify right side
    75,555x = 31,140,778,556.25
  5. Step 5: Solve for x
    x = 31,140,778,556.25/75,555
  6. Step 6: Final answer
    x = 412,160.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.