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Finding the Third Proportional to 75,584 and 165,504

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Solution

The third proportional to 75,584 and 165,504 is: 362,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,584 : 165,504 = 165,504 : x
  2. Step 2: Convert to fraction form
    75,584/165,504 = 165,504/x
  3. Step 3: Cross multiply
    75,584x = 165,504 × 165,504
  4. Step 4: Simplify right side
    75,584x = 27,391,574,016
  5. Step 5: Solve for x
    x = 27,391,574,016/75,584
  6. Step 6: Final answer
    x = 362,399.11

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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.