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Finding the Third Proportional to 75,590 and 165,502

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Solution

The third proportional to 75,590 and 165,502 is: 362,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,590 : 165,502 = 165,502 : x
  2. Step 2: Convert to fraction form
    75,590/165,502 = 165,502/x
  3. Step 3: Cross multiply
    75,590x = 165,502 × 165,502
  4. Step 4: Simplify right side
    75,590x = 27,390,912,004
  5. Step 5: Solve for x
    x = 27,390,912,004/75,590
  6. Step 6: Final answer
    x = 362,361.58

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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.