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Finding the Third Proportional to 75,286 and 148,668

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Solution

The third proportional to 75,286 and 148,668 is: 293,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286 : 148,668 = 148,668 : x
  2. Step 2: Convert to fraction form
    75,286/148,668 = 148,668/x
  3. Step 3: Cross multiply
    75,286x = 148,668 × 148,668
  4. Step 4: Simplify right side
    75,286x = 22,102,174,224
  5. Step 5: Solve for x
    x = 22,102,174,224/75,286
  6. Step 6: Final answer
    x = 293,576.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.