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Finding the Third Proportional to 75,312 and 148,734

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Solution

The third proportional to 75,312 and 148,734 is: 293,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,312 : 148,734 = 148,734 : x
  2. Step 2: Convert to fraction form
    75,312/148,734 = 148,734/x
  3. Step 3: Cross multiply
    75,312x = 148,734 × 148,734
  4. Step 4: Simplify right side
    75,312x = 22,121,802,756
  5. Step 5: Solve for x
    x = 22,121,802,756/75,312
  6. Step 6: Final answer
    x = 293,735.43

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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.