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Finding the Third Proportional to 70,893 and 154,665

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Solution

The third proportional to 70,893 and 154,665 is: 337,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,893 : 154,665 = 154,665 : x
  2. Step 2: Convert to fraction form
    70,893/154,665 = 154,665/x
  3. Step 3: Cross multiply
    70,893x = 154,665 × 154,665
  4. Step 4: Simplify right side
    70,893x = 23,921,262,225
  5. Step 5: Solve for x
    x = 23,921,262,225/70,893
  6. Step 6: Final answer
    x = 337,427.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.