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Finding the Third Proportional to 73,455 and 159,354

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Solution

The third proportional to 73,455 and 159,354 is: 345,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,455 : 159,354 = 159,354 : x
  2. Step 2: Convert to fraction form
    73,455/159,354 = 159,354/x
  3. Step 3: Cross multiply
    73,455x = 159,354 × 159,354
  4. Step 4: Simplify right side
    73,455x = 25,393,697,316
  5. Step 5: Solve for x
    x = 25,393,697,316/73,455
  6. Step 6: Final answer
    x = 345,704.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.