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Finding the Third Proportional to 133,036 and 289,037

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Solution

The third proportional to 133,036 and 289,037 is: 627,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,036 : 289,037 = 289,037 : x
  2. Step 2: Convert to fraction form
    133,036/289,037 = 289,037/x
  3. Step 3: Cross multiply
    133,036x = 289,037 × 289,037
  4. Step 4: Simplify right side
    133,036x = 83,542,387,369
  5. Step 5: Solve for x
    x = 83,542,387,369/133,036
  6. Step 6: Final answer
    x = 627,968.27

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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.