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Finding the Third Proportional to 75,598 and 165,011

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Solution

The third proportional to 75,598 and 165,011 is: 360,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,598 : 165,011 = 165,011 : x
  2. Step 2: Convert to fraction form
    75,598/165,011 = 165,011/x
  3. Step 3: Cross multiply
    75,598x = 165,011 × 165,011
  4. Step 4: Simplify right side
    75,598x = 27,228,630,121
  5. Step 5: Solve for x
    x = 27,228,630,121/75,598
  6. Step 6: Final answer
    x = 360,176.59

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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.