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Finding the Third Proportional to 75,607 and 164,822

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Solution

The third proportional to 75,607 and 164,822 is: 359,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,607 : 164,822 = 164,822 : x
  2. Step 2: Convert to fraction form
    75,607/164,822 = 164,822/x
  3. Step 3: Cross multiply
    75,607x = 164,822 × 164,822
  4. Step 4: Simplify right side
    75,607x = 27,166,291,684
  5. Step 5: Solve for x
    x = 27,166,291,684/75,607
  6. Step 6: Final answer
    x = 359,309.21

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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.