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Finding the Third Proportional to 75,284 and 148,664

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Solution

The third proportional to 75,284 and 148,664 is: 293,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284 : 148,664 = 148,664 : x
  2. Step 2: Convert to fraction form
    75,284/148,664 = 148,664/x
  3. Step 3: Cross multiply
    75,284x = 148,664 × 148,664
  4. Step 4: Simplify right side
    75,284x = 22,100,984,896
  5. Step 5: Solve for x
    x = 22,100,984,896/75,284
  6. Step 6: Final answer
    x = 293,568.15

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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.