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Finding the Third Proportional to 75,574 and 164,964

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Solution

The third proportional to 75,574 and 164,964 is: 360,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,574 : 164,964 = 164,964 : x
  2. Step 2: Convert to fraction form
    75,574/164,964 = 164,964/x
  3. Step 3: Cross multiply
    75,574x = 164,964 × 164,964
  4. Step 4: Simplify right side
    75,574x = 27,213,121,296
  5. Step 5: Solve for x
    x = 27,213,121,296/75,574
  6. Step 6: Final answer
    x = 360,085.76

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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.