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Finding the Third Proportional to 75,092.50 and 174,609

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Solution

The third proportional to 75,092.50 and 174,609 is: 406,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,092.50 : 174,609 = 174,609 : x
  2. Step 2: Convert to fraction form
    75,092.50/174,609 = 174,609/x
  3. Step 3: Cross multiply
    75,092.50x = 174,609 × 174,609
  4. Step 4: Simplify right side
    75,092.50x = 30,488,302,881
  5. Step 5: Solve for x
    x = 30,488,302,881/75,092.50
  6. Step 6: Final answer
    x = 406,009.96

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.