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Finding the Third Proportional to 75,579 and 164,973

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Solution

The third proportional to 75,579 and 164,973 is: 360,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,579 : 164,973 = 164,973 : x
  2. Step 2: Convert to fraction form
    75,579/164,973 = 164,973/x
  3. Step 3: Cross multiply
    75,579x = 164,973 × 164,973
  4. Step 4: Simplify right side
    75,579x = 27,216,090,729
  5. Step 5: Solve for x
    x = 27,216,090,729/75,579
  6. Step 6: Final answer
    x = 360,101.23

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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.