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Finding the Third Proportional to 75,324 and 148,744

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Solution

The third proportional to 75,324 and 148,744 is: 293,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,324 : 148,744 = 148,744 : x
  2. Step 2: Convert to fraction form
    75,324/148,744 = 148,744/x
  3. Step 3: Cross multiply
    75,324x = 148,744 × 148,744
  4. Step 4: Simplify right side
    75,324x = 22,124,777,536
  5. Step 5: Solve for x
    x = 22,124,777,536/75,324
  6. Step 6: Final answer
    x = 293,728.13

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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.