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Finding the Third Proportional to 75,964 and 164,888

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Solution

The third proportional to 75,964 and 164,888 is: 357,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,964 : 164,888 = 164,888 : x
  2. Step 2: Convert to fraction form
    75,964/164,888 = 164,888/x
  3. Step 3: Cross multiply
    75,964x = 164,888 × 164,888
  4. Step 4: Simplify right side
    75,964x = 27,188,052,544
  5. Step 5: Solve for x
    x = 27,188,052,544/75,964
  6. Step 6: Final answer
    x = 357,907.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.