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Finding the Third Proportional to 75,594 and 165,003

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Solution

The third proportional to 75,594 and 165,003 is: 360,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,594 : 165,003 = 165,003 : x
  2. Step 2: Convert to fraction form
    75,594/165,003 = 165,003/x
  3. Step 3: Cross multiply
    75,594x = 165,003 × 165,003
  4. Step 4: Simplify right side
    75,594x = 27,225,990,009
  5. Step 5: Solve for x
    x = 27,225,990,009/75,594
  6. Step 6: Final answer
    x = 360,160.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.