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Finding the Third Proportional to 75,588 and 165,498

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Solution

The third proportional to 75,588 and 165,498 is: 362,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,588 : 165,498 = 165,498 : x
  2. Step 2: Convert to fraction form
    75,588/165,498 = 165,498/x
  3. Step 3: Cross multiply
    75,588x = 165,498 × 165,498
  4. Step 4: Simplify right side
    75,588x = 27,389,588,004
  5. Step 5: Solve for x
    x = 27,389,588,004/75,588
  6. Step 6: Final answer
    x = 362,353.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.