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Finding the Third Proportional to 75,575 and 164,758

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Solution

The third proportional to 75,575 and 164,758 is: 359,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,575 : 164,758 = 164,758 : x
  2. Step 2: Convert to fraction form
    75,575/164,758 = 164,758/x
  3. Step 3: Cross multiply
    75,575x = 164,758 × 164,758
  4. Step 4: Simplify right side
    75,575x = 27,145,198,564
  5. Step 5: Solve for x
    x = 27,145,198,564/75,575
  6. Step 6: Final answer
    x = 359,182.25

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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.