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Finding the Third Proportional to 68,418 and 147,023

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Solution

The third proportional to 68,418 and 147,023 is: 315,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,418 : 147,023 = 147,023 : x
  2. Step 2: Convert to fraction form
    68,418/147,023 = 147,023/x
  3. Step 3: Cross multiply
    68,418x = 147,023 × 147,023
  4. Step 4: Simplify right side
    68,418x = 21,615,762,529
  5. Step 5: Solve for x
    x = 21,615,762,529/68,418
  6. Step 6: Final answer
    x = 315,936.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.